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Finding the Third Proportional to 1,354,971 and 1,981,572

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Solution

The third proportional to 1,354,971 and 1,981,572 is: 2,897,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,971 : 1,981,572 = 1,981,572 : x
  2. Step 2: Convert to fraction form
    1,354,971/1,981,572 = 1,981,572/x
  3. Step 3: Cross multiply
    1,354,971x = 1,981,572 × 1,981,572
  4. Step 4: Simplify right side
    1,354,971x = 3,926,627,591,184
  5. Step 5: Solve for x
    x = 3,926,627,591,184/1,354,971
  6. Step 6: Final answer
    x = 2,897,942.16

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.