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Finding the Third Proportional to 1,548,292.50 and 3,642,822

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Solution

The third proportional to 1,548,292.50 and 3,642,822 is: 8,570,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,292.50 : 3,642,822 = 3,642,822 : x
  2. Step 2: Convert to fraction form
    1,548,292.50/3,642,822 = 3,642,822/x
  3. Step 3: Cross multiply
    1,548,292.50x = 3,642,822 × 3,642,822
  4. Step 4: Simplify right side
    1,548,292.50x = 13,270,152,123,684
  5. Step 5: Solve for x
    x = 13,270,152,123,684/1,548,292.50
  6. Step 6: Final answer
    x = 8,570,830.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.