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Finding the Third Proportional to 657,581 and 1,413,429

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Solution

The third proportional to 657,581 and 1,413,429 is: 3,038,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,581 : 1,413,429 = 1,413,429 : x
  2. Step 2: Convert to fraction form
    657,581/1,413,429 = 1,413,429/x
  3. Step 3: Cross multiply
    657,581x = 1,413,429 × 1,413,429
  4. Step 4: Simplify right side
    657,581x = 1,997,781,538,041
  5. Step 5: Solve for x
    x = 1,997,781,538,041/657,581
  6. Step 6: Final answer
    x = 3,038,076.74

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.