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Finding the Third Proportional to 1,058,819 and 1,598,101

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Solution

The third proportional to 1,058,819 and 1,598,101 is: 2,412,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,819 : 1,598,101 = 1,598,101 : x
  2. Step 2: Convert to fraction form
    1,058,819/1,598,101 = 1,598,101/x
  3. Step 3: Cross multiply
    1,058,819x = 1,598,101 × 1,598,101
  4. Step 4: Simplify right side
    1,058,819x = 2,553,926,806,201
  5. Step 5: Solve for x
    x = 2,553,926,806,201/1,058,819
  6. Step 6: Final answer
    x = 2,412,052.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.