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Finding the Third Proportional to 1,058,098 and 1,512,485

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Solution

The third proportional to 1,058,098 and 1,512,485 is: 2,162,002.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,098 : 1,512,485 = 1,512,485 : x
  2. Step 2: Convert to fraction form
    1,058,098/1,512,485 = 1,512,485/x
  3. Step 3: Cross multiply
    1,058,098x = 1,512,485 × 1,512,485
  4. Step 4: Simplify right side
    1,058,098x = 2,287,610,875,225
  5. Step 5: Solve for x
    x = 2,287,610,875,225/1,058,098
  6. Step 6: Final answer
    x = 2,162,002.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.