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Finding the Third Proportional to 438,650 and 956,624

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Solution

The third proportional to 438,650 and 956,624 is: 2,086,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,650 : 956,624 = 956,624 : x
  2. Step 2: Convert to fraction form
    438,650/956,624 = 956,624/x
  3. Step 3: Cross multiply
    438,650x = 956,624 × 956,624
  4. Step 4: Simplify right side
    438,650x = 915,129,477,376
  5. Step 5: Solve for x
    x = 915,129,477,376/438,650
  6. Step 6: Final answer
    x = 2,086,240.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.