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Finding the Third Proportional to 516,820,594.50 and 794,390,446.13

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Solution

The third proportional to 516,820,594.50 and 794,390,446.13 is: 1,221,035,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,820,594.50 : 794,390,446.13 = 794,390,446.13 : x
  2. Step 2: Convert to fraction form
    516,820,594.50/794,390,446.13 = 794,390,446.13/x
  3. Step 3: Cross multiply
    516,820,594.50x = 794,390,446.13 × 794,390,446.13
  4. Step 4: Simplify right side
    516,820,594.50x = 631,056,180,894,676,480
  5. Step 5: Solve for x
    x = 631,056,180,894,676,480/516,820,594.50
  6. Step 6: Final answer
    x = 1,221,035,283.06

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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.