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Finding the Third Proportional to 500,484 and 1,042,386

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Solution

The third proportional to 500,484 and 1,042,386 is: 2,171,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,484 : 1,042,386 = 1,042,386 : x
  2. Step 2: Convert to fraction form
    500,484/1,042,386 = 1,042,386/x
  3. Step 3: Cross multiply
    500,484x = 1,042,386 × 1,042,386
  4. Step 4: Simplify right side
    500,484x = 1,086,568,572,996
  5. Step 5: Solve for x
    x = 1,086,568,572,996/500,484
  6. Step 6: Final answer
    x = 2,171,035.58

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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.