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Finding the Third Proportional to 653,676 and 1,423,101

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Solution

The third proportional to 653,676 and 1,423,101 is: 3,098,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,676 : 1,423,101 = 1,423,101 : x
  2. Step 2: Convert to fraction form
    653,676/1,423,101 = 1,423,101/x
  3. Step 3: Cross multiply
    653,676x = 1,423,101 × 1,423,101
  4. Step 4: Simplify right side
    653,676x = 2,025,216,456,201
  5. Step 5: Solve for x
    x = 2,025,216,456,201/653,676
  6. Step 6: Final answer
    x = 3,098,196.13

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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.