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Finding the Third Proportional to 652,187 and 857,624

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Solution

The third proportional to 652,187 and 857,624 is: 1,127,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,187 : 857,624 = 857,624 : x
  2. Step 2: Convert to fraction form
    652,187/857,624 = 857,624/x
  3. Step 3: Cross multiply
    652,187x = 857,624 × 857,624
  4. Step 4: Simplify right side
    652,187x = 735,518,925,376
  5. Step 5: Solve for x
    x = 735,518,925,376/652,187
  6. Step 6: Final answer
    x = 1,127,773.05

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.