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Finding the Third Proportional to 4,658,694 and 6,988,041

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Solution

The third proportional to 4,658,694 and 6,988,041 is: 10,482,061.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658,694 : 6,988,041 = 6,988,041 : x
  2. Step 2: Convert to fraction form
    4,658,694/6,988,041 = 6,988,041/x
  3. Step 3: Cross multiply
    4,658,694x = 6,988,041 × 6,988,041
  4. Step 4: Simplify right side
    4,658,694x = 48,832,717,017,681
  5. Step 5: Solve for x
    x = 48,832,717,017,681/4,658,694
  6. Step 6: Final answer
    x = 10,482,061.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.