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Finding the Third Proportional to 653,691.24 and 1,412,419.35

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Solution

The third proportional to 653,691.24 and 1,412,419.35 is: 3,051,790.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,691.24 : 1,412,419.35 = 1,412,419.35 : x
  2. Step 2: Convert to fraction form
    653,691.24/1,412,419.35 = 1,412,419.35/x
  3. Step 3: Cross multiply
    653,691.24x = 1,412,419.35 × 1,412,419.35
  4. Step 4: Simplify right side
    653,691.24x = 1,994,928,409,495.74
  5. Step 5: Solve for x
    x = 1,994,928,409,495.74/653,691.24
  6. Step 6: Final answer
    x = 3,051,790.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.