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Finding the Third Proportional to 719,887,454.44 and 1,075,113,822.66

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Solution

The third proportional to 719,887,454.44 and 1,075,113,822.66 is: 1,605,625,607.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,887,454.44 : 1,075,113,822.66 = 1,075,113,822.66 : x
  2. Step 2: Convert to fraction form
    719,887,454.44/1,075,113,822.66 = 1,075,113,822.66/x
  3. Step 3: Cross multiply
    719,887,454.44x = 1,075,113,822.66 × 1,075,113,822.66
  4. Step 4: Simplify right side
    719,887,454.44x = 1,155,869,731,666,642,176
  5. Step 5: Solve for x
    x = 1,155,869,731,666,642,176/719,887,454.44
  6. Step 6: Final answer
    x = 1,605,625,607.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.