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Finding the Third Proportional to 1,202,871 and 2,615,586

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Solution

The third proportional to 1,202,871 and 2,615,586 is: 5,687,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,871 : 2,615,586 = 2,615,586 : x
  2. Step 2: Convert to fraction form
    1,202,871/2,615,586 = 2,615,586/x
  3. Step 3: Cross multiply
    1,202,871x = 2,615,586 × 2,615,586
  4. Step 4: Simplify right side
    1,202,871x = 6,841,290,123,396
  5. Step 5: Solve for x
    x = 6,841,290,123,396/1,202,871
  6. Step 6: Final answer
    x = 5,687,467.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.