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Finding the Third Proportional to 677,154 and 898,908

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Solution

The third proportional to 677,154 and 898,908 is: 1,193,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,154 : 898,908 = 898,908 : x
  2. Step 2: Convert to fraction form
    677,154/898,908 = 898,908/x
  3. Step 3: Cross multiply
    677,154x = 898,908 × 898,908
  4. Step 4: Simplify right side
    677,154x = 808,035,592,464
  5. Step 5: Solve for x
    x = 808,035,592,464/677,154
  6. Step 6: Final answer
    x = 1,193,281.87

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.