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Finding the Third Proportional to 458,518 and 1,005,610

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Solution

The third proportional to 458,518 and 1,005,610 is: 2,205,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,518 : 1,005,610 = 1,005,610 : x
  2. Step 2: Convert to fraction form
    458,518/1,005,610 = 1,005,610/x
  3. Step 3: Cross multiply
    458,518x = 1,005,610 × 1,005,610
  4. Step 4: Simplify right side
    458,518x = 1,011,251,472,100
  5. Step 5: Solve for x
    x = 1,011,251,472,100/458,518
  6. Step 6: Final answer
    x = 2,205,478.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.