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Finding the Third Proportional to 794,244,140 and 1,224,862,296

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Solution

The third proportional to 794,244,140 and 1,224,862,296 is: 1,888,950,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,244,140 : 1,224,862,296 = 1,224,862,296 : x
  2. Step 2: Convert to fraction form
    794,244,140/1,224,862,296 = 1,224,862,296/x
  3. Step 3: Cross multiply
    794,244,140x = 1,224,862,296 × 1,224,862,296
  4. Step 4: Simplify right side
    794,244,140x = 1,500,287,644,162,391,552
  5. Step 5: Solve for x
    x = 1,500,287,644,162,391,552/794,244,140
  6. Step 6: Final answer
    x = 1,888,950,221.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.