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Finding the Third Proportional to 410,260 and 886,132

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Solution

The third proportional to 410,260 and 886,132 is: 1,913,981.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,260 : 886,132 = 886,132 : x
  2. Step 2: Convert to fraction form
    410,260/886,132 = 886,132/x
  3. Step 3: Cross multiply
    410,260x = 886,132 × 886,132
  4. Step 4: Simplify right side
    410,260x = 785,229,921,424
  5. Step 5: Solve for x
    x = 785,229,921,424/410,260
  6. Step 6: Final answer
    x = 1,913,981.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.