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Finding the Third Proportional to 451,558.13 and 977,545.13

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Solution

The third proportional to 451,558.13 and 977,545.13 is: 2,116,215.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,558.13 : 977,545.13 = 977,545.13 : x
  2. Step 2: Convert to fraction form
    451,558.13/977,545.13 = 977,545.13/x
  3. Step 3: Cross multiply
    451,558.13x = 977,545.13 × 977,545.13
  4. Step 4: Simplify right side
    451,558.13x = 955,594,471,411.27
  5. Step 5: Solve for x
    x = 955,594,471,411.27/451,558.13
  6. Step 6: Final answer
    x = 2,116,215.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.