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Finding the Third Proportional to 578,397,496 and 881,148,840

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Solution

The third proportional to 578,397,496 and 881,148,840 is: 1,342,369,708.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,397,496 : 881,148,840 = 881,148,840 : x
  2. Step 2: Convert to fraction form
    578,397,496/881,148,840 = 881,148,840/x
  3. Step 3: Cross multiply
    578,397,496x = 881,148,840 × 881,148,840
  4. Step 4: Simplify right side
    578,397,496x = 776,423,278,233,345,536
  5. Step 5: Solve for x
    x = 776,423,278,233,345,536/578,397,496
  6. Step 6: Final answer
    x = 1,342,369,708.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.