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Finding the Third Proportional to 3,251,822 and 4,830,566

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Solution

The third proportional to 3,251,822 and 4,830,566 is: 7,175,782.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,822 : 4,830,566 = 4,830,566 : x
  2. Step 2: Convert to fraction form
    3,251,822/4,830,566 = 4,830,566/x
  3. Step 3: Cross multiply
    3,251,822x = 4,830,566 × 4,830,566
  4. Step 4: Simplify right side
    3,251,822x = 23,334,367,880,356
  5. Step 5: Solve for x
    x = 23,334,367,880,356/3,251,822
  6. Step 6: Final answer
    x = 7,175,782.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.