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Finding the Third Proportional to 458,488 and 995,746

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Solution

The third proportional to 458,488 and 995,746 is: 2,162,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,488 : 995,746 = 995,746 : x
  2. Step 2: Convert to fraction form
    458,488/995,746 = 995,746/x
  3. Step 3: Cross multiply
    458,488x = 995,746 × 995,746
  4. Step 4: Simplify right side
    458,488x = 991,510,096,516
  5. Step 5: Solve for x
    x = 991,510,096,516/458,488
  6. Step 6: Final answer
    x = 2,162,564.99

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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.