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Finding the Third Proportional to 510,080 and 1,117,118

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Solution

The third proportional to 510,080 and 1,117,118 is: 2,446,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,080 : 1,117,118 = 1,117,118 : x
  2. Step 2: Convert to fraction form
    510,080/1,117,118 = 1,117,118/x
  3. Step 3: Cross multiply
    510,080x = 1,117,118 × 1,117,118
  4. Step 4: Simplify right side
    510,080x = 1,247,952,625,924
  5. Step 5: Solve for x
    x = 1,247,952,625,924/510,080
  6. Step 6: Final answer
    x = 2,446,582.16

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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.