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Finding the Third Proportional to 1,263,548 and 2,982,808

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Solution

The third proportional to 1,263,548 and 2,982,808 is: 7,041,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,548 : 2,982,808 = 2,982,808 : x
  2. Step 2: Convert to fraction form
    1,263,548/2,982,808 = 2,982,808/x
  3. Step 3: Cross multiply
    1,263,548x = 2,982,808 × 2,982,808
  4. Step 4: Simplify right side
    1,263,548x = 8,897,143,564,864
  5. Step 5: Solve for x
    x = 8,897,143,564,864/1,263,548
  6. Step 6: Final answer
    x = 7,041,397.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.