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Finding the Third Proportional to 2,649,049 and 5,721,585

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Solution

The third proportional to 2,649,049 and 5,721,585 is: 12,357,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649,049 : 5,721,585 = 5,721,585 : x
  2. Step 2: Convert to fraction form
    2,649,049/5,721,585 = 5,721,585/x
  3. Step 3: Cross multiply
    2,649,049x = 5,721,585 × 5,721,585
  4. Step 4: Simplify right side
    2,649,049x = 32,736,534,912,225
  5. Step 5: Solve for x
    x = 32,736,534,912,225/2,649,049
  6. Step 6: Final answer
    x = 12,357,844.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.