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Finding the Third Proportional to 660,909 and 1,050,414

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Solution

The third proportional to 660,909 and 1,050,414 is: 1,669,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,909 : 1,050,414 = 1,050,414 : x
  2. Step 2: Convert to fraction form
    660,909/1,050,414 = 1,050,414/x
  3. Step 3: Cross multiply
    660,909x = 1,050,414 × 1,050,414
  4. Step 4: Simplify right side
    660,909x = 1,103,369,571,396
  5. Step 5: Solve for x
    x = 1,103,369,571,396/660,909
  6. Step 6: Final answer
    x = 1,669,472.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.