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Finding the Third Proportional to 645,808 and 886,518

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Solution

The third proportional to 645,808 and 886,518 is: 1,216,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,808 : 886,518 = 886,518 : x
  2. Step 2: Convert to fraction form
    645,808/886,518 = 886,518/x
  3. Step 3: Cross multiply
    645,808x = 886,518 × 886,518
  4. Step 4: Simplify right side
    645,808x = 785,914,164,324
  5. Step 5: Solve for x
    x = 785,914,164,324/645,808
  6. Step 6: Final answer
    x = 1,216,947.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.