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Finding the Third Proportional to 610,188 and 944,802

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Solution

The third proportional to 610,188 and 944,802 is: 1,462,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,188 : 944,802 = 944,802 : x
  2. Step 2: Convert to fraction form
    610,188/944,802 = 944,802/x
  3. Step 3: Cross multiply
    610,188x = 944,802 × 944,802
  4. Step 4: Simplify right side
    610,188x = 892,650,819,204
  5. Step 5: Solve for x
    x = 892,650,819,204/610,188
  6. Step 6: Final answer
    x = 1,462,911.13

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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.