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Finding the Third Proportional to 1,527,476 and 3,180,448

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Solution

The third proportional to 1,527,476 and 3,180,448 is: 6,622,198.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527,476 : 3,180,448 = 3,180,448 : x
  2. Step 2: Convert to fraction form
    1,527,476/3,180,448 = 3,180,448/x
  3. Step 3: Cross multiply
    1,527,476x = 3,180,448 × 3,180,448
  4. Step 4: Simplify right side
    1,527,476x = 10,115,249,480,704
  5. Step 5: Solve for x
    x = 10,115,249,480,704/1,527,476
  6. Step 6: Final answer
    x = 6,622,198.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.