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Finding the Third Proportional to 657,051.75 and 1,366,402.50

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Solution

The third proportional to 657,051.75 and 1,366,402.50 is: 2,841,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,051.75 : 1,366,402.50 = 1,366,402.50 : x
  2. Step 2: Convert to fraction form
    657,051.75/1,366,402.50 = 1,366,402.50/x
  3. Step 3: Cross multiply
    657,051.75x = 1,366,402.50 × 1,366,402.50
  4. Step 4: Simplify right side
    657,051.75x = 1,867,055,792,006.25
  5. Step 5: Solve for x
    x = 1,867,055,792,006.25/657,051.75
  6. Step 6: Final answer
    x = 2,841,565.82

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.