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Finding the Third Proportional to 719,725 and 1,075,623

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Solution

The third proportional to 719,725 and 1,075,623 is: 1,607,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,725 : 1,075,623 = 1,075,623 : x
  2. Step 2: Convert to fraction form
    719,725/1,075,623 = 1,075,623/x
  3. Step 3: Cross multiply
    719,725x = 1,075,623 × 1,075,623
  4. Step 4: Simplify right side
    719,725x = 1,156,964,838,129
  5. Step 5: Solve for x
    x = 1,156,964,838,129/719,725
  6. Step 6: Final answer
    x = 1,607,509.59

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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.