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Finding the Third Proportional to 677,206 and 898,986

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Solution

The third proportional to 677,206 and 898,986 is: 1,193,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,206 : 898,986 = 898,986 : x
  2. Step 2: Convert to fraction form
    677,206/898,986 = 898,986/x
  3. Step 3: Cross multiply
    677,206x = 898,986 × 898,986
  4. Step 4: Simplify right side
    677,206x = 808,175,828,196
  5. Step 5: Solve for x
    x = 808,175,828,196/677,206
  6. Step 6: Final answer
    x = 1,193,397.32

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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.