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Finding the Third Proportional to 836,924 and 1,074,594

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Solution

The third proportional to 836,924 and 1,074,594 is: 1,379,757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,924 : 1,074,594 = 1,074,594 : x
  2. Step 2: Convert to fraction form
    836,924/1,074,594 = 1,074,594/x
  3. Step 3: Cross multiply
    836,924x = 1,074,594 × 1,074,594
  4. Step 4: Simplify right side
    836,924x = 1,154,752,264,836
  5. Step 5: Solve for x
    x = 1,154,752,264,836/836,924
  6. Step 6: Final answer
    x = 1,379,757.62

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.