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Finding the Third Proportional to 651,117 and 1,352,134

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Solution

The third proportional to 651,117 and 1,352,134 is: 2,807,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,117 : 1,352,134 = 1,352,134 : x
  2. Step 2: Convert to fraction form
    651,117/1,352,134 = 1,352,134/x
  3. Step 3: Cross multiply
    651,117x = 1,352,134 × 1,352,134
  4. Step 4: Simplify right side
    651,117x = 1,828,266,353,956
  5. Step 5: Solve for x
    x = 1,828,266,353,956/651,117
  6. Step 6: Final answer
    x = 2,807,892.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.