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Finding the Third Proportional to 1,905,065.44 and 4,075,264.13

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Solution

The third proportional to 1,905,065.44 and 4,075,264.13 is: 8,717,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,065.44 : 4,075,264.13 = 4,075,264.13 : x
  2. Step 2: Convert to fraction form
    1,905,065.44/4,075,264.13 = 4,075,264.13/x
  3. Step 3: Cross multiply
    1,905,065.44x = 4,075,264.13 × 4,075,264.13
  4. Step 4: Simplify right side
    1,905,065.44x = 16,607,777,688,512.02
  5. Step 5: Solve for x
    x = 16,607,777,688,512.02/1,905,065.44
  6. Step 6: Final answer
    x = 8,717,694.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.