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Finding the Third Proportional to 416,390,882 and 646,824,324

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Solution

The third proportional to 416,390,882 and 646,824,324 is: 1,004,781,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390,882 : 646,824,324 = 646,824,324 : x
  2. Step 2: Convert to fraction form
    416,390,882/646,824,324 = 646,824,324/x
  3. Step 3: Cross multiply
    416,390,882x = 646,824,324 × 646,824,324
  4. Step 4: Simplify right side
    416,390,882x = 418,381,706,118,056,960
  5. Step 5: Solve for x
    x = 418,381,706,118,056,960/416,390,882
  6. Step 6: Final answer
    x = 1,004,781,142.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.