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Finding the Third Proportional to 539,871 and 1,158,294

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Solution

The third proportional to 539,871 and 1,158,294 is: 2,485,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,871 : 1,158,294 = 1,158,294 : x
  2. Step 2: Convert to fraction form
    539,871/1,158,294 = 1,158,294/x
  3. Step 3: Cross multiply
    539,871x = 1,158,294 × 1,158,294
  4. Step 4: Simplify right side
    539,871x = 1,341,644,990,436
  5. Step 5: Solve for x
    x = 1,341,644,990,436/539,871
  6. Step 6: Final answer
    x = 2,485,121.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.