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Finding the Third Proportional to 513,234 and 1,127,070

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Solution

The third proportional to 513,234 and 1,127,070 is: 2,475,063.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,234 : 1,127,070 = 1,127,070 : x
  2. Step 2: Convert to fraction form
    513,234/1,127,070 = 1,127,070/x
  3. Step 3: Cross multiply
    513,234x = 1,127,070 × 1,127,070
  4. Step 4: Simplify right side
    513,234x = 1,270,286,784,900
  5. Step 5: Solve for x
    x = 1,270,286,784,900/513,234
  6. Step 6: Final answer
    x = 2,475,063.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.