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Finding the Third Proportional to 410,895 and 896,533

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Solution

The third proportional to 410,895 and 896,533 is: 1,956,147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,895 : 896,533 = 896,533 : x
  2. Step 2: Convert to fraction form
    410,895/896,533 = 896,533/x
  3. Step 3: Cross multiply
    410,895x = 896,533 × 896,533
  4. Step 4: Simplify right side
    410,895x = 803,771,420,089
  5. Step 5: Solve for x
    x = 803,771,420,089/410,895
  6. Step 6: Final answer
    x = 1,956,147.97

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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.