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Finding the Third Proportional to 653,412 and 1,386,132

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Solution

The third proportional to 653,412 and 1,386,132 is: 2,940,506.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,412 : 1,386,132 = 1,386,132 : x
  2. Step 2: Convert to fraction form
    653,412/1,386,132 = 1,386,132/x
  3. Step 3: Cross multiply
    653,412x = 1,386,132 × 1,386,132
  4. Step 4: Simplify right side
    653,412x = 1,921,361,921,424
  5. Step 5: Solve for x
    x = 1,921,361,921,424/653,412
  6. Step 6: Final answer
    x = 2,940,506.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.