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Finding the Third Proportional to 611,269 and 944,605

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Solution

The third proportional to 611,269 and 944,605 is: 1,459,715.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,269 : 944,605 = 944,605 : x
  2. Step 2: Convert to fraction form
    611,269/944,605 = 944,605/x
  3. Step 3: Cross multiply
    611,269x = 944,605 × 944,605
  4. Step 4: Simplify right side
    611,269x = 892,278,606,025
  5. Step 5: Solve for x
    x = 892,278,606,025/611,269
  6. Step 6: Final answer
    x = 1,459,715.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.