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Finding the Third Proportional to 458,509 and 1,005,591

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Solution

The third proportional to 458,509 and 1,005,591 is: 2,205,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509 : 1,005,591 = 1,005,591 : x
  2. Step 2: Convert to fraction form
    458,509/1,005,591 = 1,005,591/x
  3. Step 3: Cross multiply
    458,509x = 1,005,591 × 1,005,591
  4. Step 4: Simplify right side
    458,509x = 1,011,213,259,281
  5. Step 5: Solve for x
    x = 1,011,213,259,281/458,509
  6. Step 6: Final answer
    x = 2,205,438.19

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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.