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Finding the Third Proportional to 410,913 and 896,571

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Solution

The third proportional to 410,913 and 896,571 is: 1,956,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,913 : 896,571 = 896,571 : x
  2. Step 2: Convert to fraction form
    410,913/896,571 = 896,571/x
  3. Step 3: Cross multiply
    410,913x = 896,571 × 896,571
  4. Step 4: Simplify right side
    410,913x = 803,839,558,041
  5. Step 5: Solve for x
    x = 803,839,558,041/410,913
  6. Step 6: Final answer
    x = 1,956,228.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.