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Finding the Third Proportional to 653,653.13 and 891,136.69

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Solution

The third proportional to 653,653.13 and 891,136.69 is: 1,214,902.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,653.13 : 891,136.69 = 891,136.69 : x
  2. Step 2: Convert to fraction form
    653,653.13/891,136.69 = 891,136.69/x
  3. Step 3: Cross multiply
    653,653.13x = 891,136.69 × 891,136.69
  4. Step 4: Simplify right side
    653,653.13x = 794,124,595,808.47
  5. Step 5: Solve for x
    x = 794,124,595,808.47/653,653.13
  6. Step 6: Final answer
    x = 1,214,902.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.