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Finding the Third Proportional to 393,549,213 and 861,234,810.75

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Solution

The third proportional to 393,549,213 and 861,234,810.75 is: 1,884,708,124.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,549,213 : 861,234,810.75 = 861,234,810.75 : x
  2. Step 2: Convert to fraction form
    393,549,213/861,234,810.75 = 861,234,810.75/x
  3. Step 3: Cross multiply
    393,549,213x = 861,234,810.75 × 861,234,810.75
  4. Step 4: Simplify right side
    393,549,213x = 741,725,399,247,588,352
  5. Step 5: Solve for x
    x = 741,725,399,247,588,352/393,549,213
  6. Step 6: Final answer
    x = 1,884,708,124.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.