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Finding the Third Proportional to 469,125 and 1,029,591

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Solution

The third proportional to 469,125 and 1,029,591 is: 2,259,648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,125 : 1,029,591 = 1,029,591 : x
  2. Step 2: Convert to fraction form
    469,125/1,029,591 = 1,029,591/x
  3. Step 3: Cross multiply
    469,125x = 1,029,591 × 1,029,591
  4. Step 4: Simplify right side
    469,125x = 1,060,057,627,281
  5. Step 5: Solve for x
    x = 1,060,057,627,281/469,125
  6. Step 6: Final answer
    x = 2,259,648.55

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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.