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Finding the Third Proportional to 600,838,304 and 1,287,908,544

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Solution

The third proportional to 600,838,304 and 1,287,908,544 is: 2,760,656,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,838,304 : 1,287,908,544 = 1,287,908,544 : x
  2. Step 2: Convert to fraction form
    600,838,304/1,287,908,544 = 1,287,908,544/x
  3. Step 3: Cross multiply
    600,838,304x = 1,287,908,544 × 1,287,908,544
  4. Step 4: Simplify right side
    600,838,304x = 1,658,708,417,708,199,936
  5. Step 5: Solve for x
    x = 1,658,708,417,708,199,936/600,838,304
  6. Step 6: Final answer
    x = 2,760,656,913.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.