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Finding the Third Proportional to 411,526,962 and 887,666,436

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Solution

The third proportional to 411,526,962 and 887,666,436 is: 1,914,702,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,526,962 : 887,666,436 = 887,666,436 : x
  2. Step 2: Convert to fraction form
    411,526,962/887,666,436 = 887,666,436/x
  3. Step 3: Cross multiply
    411,526,962x = 887,666,436 × 887,666,436
  4. Step 4: Simplify right side
    411,526,962x = 787,951,701,600,942,080
  5. Step 5: Solve for x
    x = 787,951,701,600,942,080/411,526,962
  6. Step 6: Final answer
    x = 1,914,702,496.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.