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Finding the Third Proportional to 751,098 and 1,145,565

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Solution

The third proportional to 751,098 and 1,145,565 is: 1,747,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,098 : 1,145,565 = 1,145,565 : x
  2. Step 2: Convert to fraction form
    751,098/1,145,565 = 1,145,565/x
  3. Step 3: Cross multiply
    751,098x = 1,145,565 × 1,145,565
  4. Step 4: Simplify right side
    751,098x = 1,312,319,169,225
  5. Step 5: Solve for x
    x = 1,312,319,169,225/751,098
  6. Step 6: Final answer
    x = 1,747,200.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.