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Finding the Third Proportional to 410,056 and 881,424

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Solution

The third proportional to 410,056 and 881,424 is: 1,894,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,056 : 881,424 = 881,424 : x
  2. Step 2: Convert to fraction form
    410,056/881,424 = 881,424/x
  3. Step 3: Cross multiply
    410,056x = 881,424 × 881,424
  4. Step 4: Simplify right side
    410,056x = 776,908,267,776
  5. Step 5: Solve for x
    x = 776,908,267,776/410,056
  6. Step 6: Final answer
    x = 1,894,639.43

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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.