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Finding the Third Proportional to 817,012 and 1,176,750

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Solution

The third proportional to 817,012 and 1,176,750 is: 1,694,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,012 : 1,176,750 = 1,176,750 : x
  2. Step 2: Convert to fraction form
    817,012/1,176,750 = 1,176,750/x
  3. Step 3: Cross multiply
    817,012x = 1,176,750 × 1,176,750
  4. Step 4: Simplify right side
    817,012x = 1,384,740,562,500
  5. Step 5: Solve for x
    x = 1,384,740,562,500/817,012
  6. Step 6: Final answer
    x = 1,694,883.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.