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Finding the Third Proportional to 901,058 and 1,259,733

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Solution

The third proportional to 901,058 and 1,259,733 is: 1,761,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,058 : 1,259,733 = 1,259,733 : x
  2. Step 2: Convert to fraction form
    901,058/1,259,733 = 1,259,733/x
  3. Step 3: Cross multiply
    901,058x = 1,259,733 × 1,259,733
  4. Step 4: Simplify right side
    901,058x = 1,586,927,231,289
  5. Step 5: Solve for x
    x = 1,586,927,231,289/901,058
  6. Step 6: Final answer
    x = 1,761,182.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.