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Finding the Third Proportional to 485,713.13 and 1,030,617

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Solution

The third proportional to 485,713.13 and 1,030,617 is: 2,186,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,713.13 : 1,030,617 = 1,030,617 : x
  2. Step 2: Convert to fraction form
    485,713.13/1,030,617 = 1,030,617/x
  3. Step 3: Cross multiply
    485,713.13x = 1,030,617 × 1,030,617
  4. Step 4: Simplify right side
    485,713.13x = 1,062,171,400,689
  5. Step 5: Solve for x
    x = 1,062,171,400,689/485,713.13
  6. Step 6: Final answer
    x = 2,186,828.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.