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Finding the Third Proportional to 513,276 and 1,116,860

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Solution

The third proportional to 513,276 and 1,116,860 is: 2,430,225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,276 : 1,116,860 = 1,116,860 : x
  2. Step 2: Convert to fraction form
    513,276/1,116,860 = 1,116,860/x
  3. Step 3: Cross multiply
    513,276x = 1,116,860 × 1,116,860
  4. Step 4: Simplify right side
    513,276x = 1,247,376,259,600
  5. Step 5: Solve for x
    x = 1,247,376,259,600/513,276
  6. Step 6: Final answer
    x = 2,430,225.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.