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Finding the Third Proportional to 510,846 and 1,110,117

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Solution

The third proportional to 510,846 and 1,110,117 is: 2,412,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,846 : 1,110,117 = 1,110,117 : x
  2. Step 2: Convert to fraction form
    510,846/1,110,117 = 1,110,117/x
  3. Step 3: Cross multiply
    510,846x = 1,110,117 × 1,110,117
  4. Step 4: Simplify right side
    510,846x = 1,232,359,753,689
  5. Step 5: Solve for x
    x = 1,232,359,753,689/510,846
  6. Step 6: Final answer
    x = 2,412,389.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.