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Finding the Third Proportional to 1,418,472 and 2,180,196

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Solution

The third proportional to 1,418,472 and 2,180,196 is: 3,350,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,472 : 2,180,196 = 2,180,196 : x
  2. Step 2: Convert to fraction form
    1,418,472/2,180,196 = 2,180,196/x
  3. Step 3: Cross multiply
    1,418,472x = 2,180,196 × 2,180,196
  4. Step 4: Simplify right side
    1,418,472x = 4,753,254,598,416
  5. Step 5: Solve for x
    x = 4,753,254,598,416/1,418,472
  6. Step 6: Final answer
    x = 3,350,968.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.