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Finding the Third Proportional to 426,952 and 919,878.50

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Solution

The third proportional to 426,952 and 919,878.50 is: 1,981,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,952 : 919,878.50 = 919,878.50 : x
  2. Step 2: Convert to fraction form
    426,952/919,878.50 = 919,878.50/x
  3. Step 3: Cross multiply
    426,952x = 919,878.50 × 919,878.50
  4. Step 4: Simplify right side
    426,952x = 846,176,454,762.25
  5. Step 5: Solve for x
    x = 846,176,454,762.25/426,952
  6. Step 6: Final answer
    x = 1,981,900.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.