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Finding the Third Proportional to 532,864 and 1,114,992

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Solution

The third proportional to 532,864 and 1,114,992 is: 2,333,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,864 : 1,114,992 = 1,114,992 : x
  2. Step 2: Convert to fraction form
    532,864/1,114,992 = 1,114,992/x
  3. Step 3: Cross multiply
    532,864x = 1,114,992 × 1,114,992
  4. Step 4: Simplify right side
    532,864x = 1,243,207,160,064
  5. Step 5: Solve for x
    x = 1,243,207,160,064/532,864
  6. Step 6: Final answer
    x = 2,333,066.52

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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.