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Finding the Third Proportional to 510,132 and 1,117,230

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Solution

The third proportional to 510,132 and 1,117,230 is: 2,446,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,132 : 1,117,230 = 1,117,230 : x
  2. Step 2: Convert to fraction form
    510,132/1,117,230 = 1,117,230/x
  3. Step 3: Cross multiply
    510,132x = 1,117,230 × 1,117,230
  4. Step 4: Simplify right side
    510,132x = 1,248,202,872,900
  5. Step 5: Solve for x
    x = 1,248,202,872,900/510,132
  6. Step 6: Final answer
    x = 2,446,823.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.