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Finding the Third Proportional to 411,966,768 and 857,797,216

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Solution

The third proportional to 411,966,768 and 857,797,216 is: 1,786,105,387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,966,768 : 857,797,216 = 857,797,216 : x
  2. Step 2: Convert to fraction form
    411,966,768/857,797,216 = 857,797,216/x
  3. Step 3: Cross multiply
    411,966,768x = 857,797,216 × 857,797,216
  4. Step 4: Simplify right side
    411,966,768x = 735,816,063,777,350,656
  5. Step 5: Solve for x
    x = 735,816,063,777,350,656/411,966,768
  6. Step 6: Final answer
    x = 1,786,105,387.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.