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Finding the Third Proportional to 683,307.56 and 1,060,773.47

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Solution

The third proportional to 683,307.56 and 1,060,773.47 is: 1,646,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,307.56 : 1,060,773.47 = 1,060,773.47 : x
  2. Step 2: Convert to fraction form
    683,307.56/1,060,773.47 = 1,060,773.47/x
  3. Step 3: Cross multiply
    683,307.56x = 1,060,773.47 × 1,060,773.47
  4. Step 4: Simplify right side
    683,307.56x = 1,125,240,352,003.91
  5. Step 5: Solve for x
    x = 1,125,240,352,003.91/683,307.56
  6. Step 6: Final answer
    x = 1,646,755.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.