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Finding the Third Proportional to 1,318,416 and 2,823,472

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Solution

The third proportional to 1,318,416 and 2,823,472 is: 6,046,645.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318,416 : 2,823,472 = 2,823,472 : x
  2. Step 2: Convert to fraction form
    1,318,416/2,823,472 = 2,823,472/x
  3. Step 3: Cross multiply
    1,318,416x = 2,823,472 × 2,823,472
  4. Step 4: Simplify right side
    1,318,416x = 7,971,994,134,784
  5. Step 5: Solve for x
    x = 7,971,994,134,784/1,318,416
  6. Step 6: Final answer
    x = 6,046,645.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.