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Finding the Third Proportional to 410,246 and 886,102

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Solution

The third proportional to 410,246 and 886,102 is: 1,913,916.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,246 : 886,102 = 886,102 : x
  2. Step 2: Convert to fraction form
    410,246/886,102 = 886,102/x
  3. Step 3: Cross multiply
    410,246x = 886,102 × 886,102
  4. Step 4: Simplify right side
    410,246x = 785,176,754,404
  5. Step 5: Solve for x
    x = 785,176,754,404/410,246
  6. Step 6: Final answer
    x = 1,913,916.90

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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.