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Finding the Third Proportional to 898,432.31 and 1,948,451.06

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Solution

The third proportional to 898,432.31 and 1,948,451.06 is: 4,225,651.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,432.31 : 1,948,451.06 = 1,948,451.06 : x
  2. Step 2: Convert to fraction form
    898,432.31/1,948,451.06 = 1,948,451.06/x
  3. Step 3: Cross multiply
    898,432.31x = 1,948,451.06 × 1,948,451.06
  4. Step 4: Simplify right side
    898,432.31x = 3,796,461,542,957.38
  5. Step 5: Solve for x
    x = 3,796,461,542,957.38/898,432.31
  6. Step 6: Final answer
    x = 4,225,651.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.