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Finding the Third Proportional to 487,225.13 and 1,005,343.31

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Solution

The third proportional to 487,225.13 and 1,005,343.31 is: 2,074,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,225.13 : 1,005,343.31 = 1,005,343.31 : x
  2. Step 2: Convert to fraction form
    487,225.13/1,005,343.31 = 1,005,343.31/x
  3. Step 3: Cross multiply
    487,225.13x = 1,005,343.31 × 1,005,343.31
  4. Step 4: Simplify right side
    487,225.13x = 1,010,715,175,988.47
  5. Step 5: Solve for x
    x = 1,010,715,175,988.47/487,225.13
  6. Step 6: Final answer
    x = 2,074,431.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.