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Finding the Third Proportional to 961,795.13 and 1,500,922.13

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Solution

The third proportional to 961,795.13 and 1,500,922.13 is: 2,342,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,795.13 : 1,500,922.13 = 1,500,922.13 : x
  2. Step 2: Convert to fraction form
    961,795.13/1,500,922.13 = 1,500,922.13/x
  3. Step 3: Cross multiply
    961,795.13x = 1,500,922.13 × 1,500,922.13
  4. Step 4: Simplify right side
    961,795.13x = 2,252,767,225,314.52
  5. Step 5: Solve for x
    x = 2,252,767,225,314.52/961,795.13
  6. Step 6: Final answer
    x = 2,342,252.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.