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Finding the Third Proportional to 2,202,478 and 4,523,534

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Solution

The third proportional to 2,202,478 and 4,523,534 is: 9,290,608.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202,478 : 4,523,534 = 4,523,534 : x
  2. Step 2: Convert to fraction form
    2,202,478/4,523,534 = 4,523,534/x
  3. Step 3: Cross multiply
    2,202,478x = 4,523,534 × 4,523,534
  4. Step 4: Simplify right side
    2,202,478x = 20,462,359,849,156
  5. Step 5: Solve for x
    x = 20,462,359,849,156/2,202,478
  6. Step 6: Final answer
    x = 9,290,608.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.