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Finding the Third Proportional to 606,719,376 and 916,455,240

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Solution

The third proportional to 606,719,376 and 916,455,240 is: 1,384,314,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,719,376 : 916,455,240 = 916,455,240 : x
  2. Step 2: Convert to fraction form
    606,719,376/916,455,240 = 916,455,240/x
  3. Step 3: Cross multiply
    606,719,376x = 916,455,240 × 916,455,240
  4. Step 4: Simplify right side
    606,719,376x = 839,890,206,923,457,536
  5. Step 5: Solve for x
    x = 839,890,206,923,457,536/606,719,376
  6. Step 6: Final answer
    x = 1,384,314,132.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.