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Finding the Third Proportional to 817,152.05 and 964,774.55

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Solution

The third proportional to 817,152.05 and 964,774.55 is: 1,139,065.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,152.05 : 964,774.55 = 964,774.55 : x
  2. Step 2: Convert to fraction form
    817,152.05/964,774.55 = 964,774.55/x
  3. Step 3: Cross multiply
    817,152.05x = 964,774.55 × 964,774.55
  4. Step 4: Simplify right side
    817,152.05x = 930,789,926,297.86
  5. Step 5: Solve for x
    x = 930,789,926,297.86/817,152.05
  6. Step 6: Final answer
    x = 1,139,065.77

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.