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Finding the Third Proportional to 245,172,324 and 527,541,146

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Solution

The third proportional to 245,172,324 and 527,541,146 is: 1,135,118,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,172,324 : 527,541,146 = 527,541,146 : x
  2. Step 2: Convert to fraction form
    245,172,324/527,541,146 = 527,541,146/x
  3. Step 3: Cross multiply
    245,172,324x = 527,541,146 × 527,541,146
  4. Step 4: Simplify right side
    245,172,324x = 278,299,660,722,993,312
  5. Step 5: Solve for x
    x = 278,299,660,722,993,312/245,172,324
  6. Step 6: Final answer
    x = 1,135,118,581.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.