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Finding the Third Proportional to 500,048 and 1,078,282

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Solution

The third proportional to 500,048 and 1,078,282 is: 2,325,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,048 : 1,078,282 = 1,078,282 : x
  2. Step 2: Convert to fraction form
    500,048/1,078,282 = 1,078,282/x
  3. Step 3: Cross multiply
    500,048x = 1,078,282 × 1,078,282
  4. Step 4: Simplify right side
    500,048x = 1,162,692,071,524
  5. Step 5: Solve for x
    x = 1,162,692,071,524/500,048
  6. Step 6: Final answer
    x = 2,325,160.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.