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Finding the Third Proportional to 656,120 and 1,435,681

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Solution

The third proportional to 656,120 and 1,435,681 is: 3,141,467.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,120 : 1,435,681 = 1,435,681 : x
  2. Step 2: Convert to fraction form
    656,120/1,435,681 = 1,435,681/x
  3. Step 3: Cross multiply
    656,120x = 1,435,681 × 1,435,681
  4. Step 4: Simplify right side
    656,120x = 2,061,179,933,761
  5. Step 5: Solve for x
    x = 2,061,179,933,761/656,120
  6. Step 6: Final answer
    x = 3,141,467.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.