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Finding the Third Proportional to 1,376,825 and 2,982,430

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Solution

The third proportional to 1,376,825 and 2,982,430 is: 6,460,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,825 : 2,982,430 = 2,982,430 : x
  2. Step 2: Convert to fraction form
    1,376,825/2,982,430 = 2,982,430/x
  3. Step 3: Cross multiply
    1,376,825x = 2,982,430 × 2,982,430
  4. Step 4: Simplify right side
    1,376,825x = 8,894,888,704,900
  5. Step 5: Solve for x
    x = 8,894,888,704,900/1,376,825
  6. Step 6: Final answer
    x = 6,460,435.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.