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Finding the Third Proportional to 1,301,952 and 1,971,288

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Solution

The third proportional to 1,301,952 and 1,971,288 is: 2,984,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,952 : 1,971,288 = 1,971,288 : x
  2. Step 2: Convert to fraction form
    1,301,952/1,971,288 = 1,971,288/x
  3. Step 3: Cross multiply
    1,301,952x = 1,971,288 × 1,971,288
  4. Step 4: Simplify right side
    1,301,952x = 3,885,976,378,944
  5. Step 5: Solve for x
    x = 3,885,976,378,944/1,301,952
  6. Step 6: Final answer
    x = 2,984,730.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.