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Finding the Third Proportional to 563,902 and 1,215,828

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Solution

The third proportional to 563,902 and 1,215,828 is: 2,621,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,902 : 1,215,828 = 1,215,828 : x
  2. Step 2: Convert to fraction form
    563,902/1,215,828 = 1,215,828/x
  3. Step 3: Cross multiply
    563,902x = 1,215,828 × 1,215,828
  4. Step 4: Simplify right side
    563,902x = 1,478,237,725,584
  5. Step 5: Solve for x
    x = 1,478,237,725,584/563,902
  6. Step 6: Final answer
    x = 2,621,444.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.