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Finding the Third Proportional to 794,244,154 and 1,224,862,314

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Solution

The third proportional to 794,244,154 and 1,224,862,314 is: 1,888,950,243.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,244,154 : 1,224,862,314 = 1,224,862,314 : x
  2. Step 2: Convert to fraction form
    794,244,154/1,224,862,314 = 1,224,862,314/x
  3. Step 3: Cross multiply
    794,244,154x = 1,224,862,314 × 1,224,862,314
  4. Step 4: Simplify right side
    794,244,154x = 1,500,287,688,257,434,624
  5. Step 5: Solve for x
    x = 1,500,287,688,257,434,624/794,244,154
  6. Step 6: Final answer
    x = 1,888,950,243.70

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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.