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Finding the Third Proportional to 513,468 and 1,117,200

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Solution

The third proportional to 513,468 and 1,117,200 is: 2,430,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,468 : 1,117,200 = 1,117,200 : x
  2. Step 2: Convert to fraction form
    513,468/1,117,200 = 1,117,200/x
  3. Step 3: Cross multiply
    513,468x = 1,117,200 × 1,117,200
  4. Step 4: Simplify right side
    513,468x = 1,248,135,840,000
  5. Step 5: Solve for x
    x = 1,248,135,840,000/513,468
  6. Step 6: Final answer
    x = 2,430,795.77

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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.