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Finding the Third Proportional to 416,390,885 and 646,824,329

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Solution

The third proportional to 416,390,885 and 646,824,329 is: 1,004,781,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,390,885 : 646,824,329 = 646,824,329 : x
  2. Step 2: Convert to fraction form
    416,390,885/646,824,329 = 646,824,329/x
  3. Step 3: Cross multiply
    416,390,885x = 646,824,329 × 646,824,329
  4. Step 4: Simplify right side
    416,390,885x = 418,381,712,586,300,224
  5. Step 5: Solve for x
    x = 418,381,712,586,300,224/416,390,885
  6. Step 6: Final answer
    x = 1,004,781,150.74

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