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Finding the Third Proportional to 932,715.38 and 1,977,530.06

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Solution

The third proportional to 932,715.38 and 1,977,530.06 is: 4,192,731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,715.38 : 1,977,530.06 = 1,977,530.06 : x
  2. Step 2: Convert to fraction form
    932,715.38/1,977,530.06 = 1,977,530.06/x
  3. Step 3: Cross multiply
    932,715.38x = 1,977,530.06 × 1,977,530.06
  4. Step 4: Simplify right side
    932,715.38x = 3,910,625,148,091.25
  5. Step 5: Solve for x
    x = 3,910,625,148,091.25/932,715.38
  6. Step 6: Final answer
    x = 4,192,731.52

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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.