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Finding the Third Proportional to 551,839,680 and 767,281,248

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Solution

The third proportional to 551,839,680 and 767,281,248 is: 1,066,832,514.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,839,680 : 767,281,248 = 767,281,248 : x
  2. Step 2: Convert to fraction form
    551,839,680/767,281,248 = 767,281,248/x
  3. Step 3: Cross multiply
    551,839,680x = 767,281,248 × 767,281,248
  4. Step 4: Simplify right side
    551,839,680x = 588,720,513,532,437,504
  5. Step 5: Solve for x
    x = 588,720,513,532,437,504/551,839,680
  6. Step 6: Final answer
    x = 1,066,832,514.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.