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Finding the Third Proportional to 669,507 and 1,034,414

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Solution

The third proportional to 669,507 and 1,034,414 is: 1,598,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,507 : 1,034,414 = 1,034,414 : x
  2. Step 2: Convert to fraction form
    669,507/1,034,414 = 1,034,414/x
  3. Step 3: Cross multiply
    669,507x = 1,034,414 × 1,034,414
  4. Step 4: Simplify right side
    669,507x = 1,070,012,323,396
  5. Step 5: Solve for x
    x = 1,070,012,323,396/669,507
  6. Step 6: Final answer
    x = 1,598,209.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.