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Finding the Third Proportional to 409,056 and 878,829

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Solution

The third proportional to 409,056 and 878,829 is: 1,888,104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,056 : 878,829 = 878,829 : x
  2. Step 2: Convert to fraction form
    409,056/878,829 = 878,829/x
  3. Step 3: Cross multiply
    409,056x = 878,829 × 878,829
  4. Step 4: Simplify right side
    409,056x = 772,340,411,241
  5. Step 5: Solve for x
    x = 772,340,411,241/409,056
  6. Step 6: Final answer
    x = 1,888,104.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.