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Finding the Third Proportional to 1,159,098 and 1,703,915

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Solution

The third proportional to 1,159,098 and 1,703,915 is: 2,504,815.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,098 : 1,703,915 = 1,703,915 : x
  2. Step 2: Convert to fraction form
    1,159,098/1,703,915 = 1,703,915/x
  3. Step 3: Cross multiply
    1,159,098x = 1,703,915 × 1,703,915
  4. Step 4: Simplify right side
    1,159,098x = 2,903,326,327,225
  5. Step 5: Solve for x
    x = 2,903,326,327,225/1,159,098
  6. Step 6: Final answer
    x = 2,504,815.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.