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Finding the Third Proportional to 715,780.13 and 1,557,508.50

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Solution

The third proportional to 715,780.13 and 1,557,508.50 is: 3,389,075.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,780.13 : 1,557,508.50 = 1,557,508.50 : x
  2. Step 2: Convert to fraction form
    715,780.13/1,557,508.50 = 1,557,508.50/x
  3. Step 3: Cross multiply
    715,780.13x = 1,557,508.50 × 1,557,508.50
  4. Step 4: Simplify right side
    715,780.13x = 2,425,832,727,572.25
  5. Step 5: Solve for x
    x = 2,425,832,727,572.25/715,780.13
  6. Step 6: Final answer
    x = 3,389,075.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.