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Finding the Third Proportional to 885,724 and 1,410,031

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Solution

The third proportional to 885,724 and 1,410,031 is: 2,244,703.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,724 : 1,410,031 = 1,410,031 : x
  2. Step 2: Convert to fraction form
    885,724/1,410,031 = 1,410,031/x
  3. Step 3: Cross multiply
    885,724x = 1,410,031 × 1,410,031
  4. Step 4: Simplify right side
    885,724x = 1,988,187,420,961
  5. Step 5: Solve for x
    x = 1,988,187,420,961/885,724
  6. Step 6: Final answer
    x = 2,244,703.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.