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Finding the Third Proportional to 959,098 and 1,432,058

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Solution

The third proportional to 959,098 and 1,432,058 is: 2,138,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    959,098 : 1,432,058 = 1,432,058 : x
  2. Step 2: Convert to fraction form
    959,098/1,432,058 = 1,432,058/x
  3. Step 3: Cross multiply
    959,098x = 1,432,058 × 1,432,058
  4. Step 4: Simplify right side
    959,098x = 2,050,790,115,364
  5. Step 5: Solve for x
    x = 2,050,790,115,364/959,098
  6. Step 6: Final answer
    x = 2,138,248.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.