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Finding the Third Proportional to 361,620,672 and 784,888,498

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Solution

The third proportional to 361,620,672 and 784,888,498 is: 1,703,580,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,620,672 : 784,888,498 = 784,888,498 : x
  2. Step 2: Convert to fraction form
    361,620,672/784,888,498 = 784,888,498/x
  3. Step 3: Cross multiply
    361,620,672x = 784,888,498 × 784,888,498
  4. Step 4: Simplify right side
    361,620,672x = 616,049,954,292,696,064
  5. Step 5: Solve for x
    x = 616,049,954,292,696,064/361,620,672
  6. Step 6: Final answer
    x = 1,703,580,580.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.