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Finding the Third Proportional to 466,693.31 and 1,017,856.13

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Solution

The third proportional to 466,693.31 and 1,017,856.13 is: 2,219,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,693.31 : 1,017,856.13 = 1,017,856.13 : x
  2. Step 2: Convert to fraction form
    466,693.31/1,017,856.13 = 1,017,856.13/x
  3. Step 3: Cross multiply
    466,693.31x = 1,017,856.13 × 1,017,856.13
  4. Step 4: Simplify right side
    466,693.31x = 1,036,031,091,200.02
  5. Step 5: Solve for x
    x = 1,036,031,091,200.02/466,693.31
  6. Step 6: Final answer
    x = 2,219,939.87

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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.