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Finding the Third Proportional to 2,181,225 and 4,642,386

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Solution

The third proportional to 2,181,225 and 4,642,386 is: 9,880,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,225 : 4,642,386 = 4,642,386 : x
  2. Step 2: Convert to fraction form
    2,181,225/4,642,386 = 4,642,386/x
  3. Step 3: Cross multiply
    2,181,225x = 4,642,386 × 4,642,386
  4. Step 4: Simplify right side
    2,181,225x = 21,551,747,772,996
  5. Step 5: Solve for x
    x = 21,551,747,772,996/2,181,225
  6. Step 6: Final answer
    x = 9,880,570.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.