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Finding the Third Proportional to 657,951 and 1,413,804

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Solution

The third proportional to 657,951 and 1,413,804 is: 3,037,979.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,951 : 1,413,804 = 1,413,804 : x
  2. Step 2: Convert to fraction form
    657,951/1,413,804 = 1,413,804/x
  3. Step 3: Cross multiply
    657,951x = 1,413,804 × 1,413,804
  4. Step 4: Simplify right side
    657,951x = 1,998,841,750,416
  5. Step 5: Solve for x
    x = 1,998,841,750,416/657,951
  6. Step 6: Final answer
    x = 3,037,979.65

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Why These Related Problems?

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