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Finding the Third Proportional to 532,872 and 1,115,008

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Solution

The third proportional to 532,872 and 1,115,008 is: 2,333,098.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,872 : 1,115,008 = 1,115,008 : x
  2. Step 2: Convert to fraction form
    532,872/1,115,008 = 1,115,008/x
  3. Step 3: Cross multiply
    532,872x = 1,115,008 × 1,115,008
  4. Step 4: Simplify right side
    532,872x = 1,243,242,840,064
  5. Step 5: Solve for x
    x = 1,243,242,840,064/532,872
  6. Step 6: Final answer
    x = 2,333,098.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.