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Finding the Third Proportional to 2,143,362.75 and 4,581,498

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Solution

The third proportional to 2,143,362.75 and 4,581,498 is: 9,793,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,362.75 : 4,581,498 = 4,581,498 : x
  2. Step 2: Convert to fraction form
    2,143,362.75/4,581,498 = 4,581,498/x
  3. Step 3: Cross multiply
    2,143,362.75x = 4,581,498 × 4,581,498
  4. Step 4: Simplify right side
    2,143,362.75x = 20,990,123,924,004
  5. Step 5: Solve for x
    x = 20,990,123,924,004/2,143,362.75
  6. Step 6: Final answer
    x = 9,793,080.49

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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.