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Finding the Third Proportional to 410,747 and 898,793

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Solution

The third proportional to 410,747 and 898,793 is: 1,966,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,747 : 898,793 = 898,793 : x
  2. Step 2: Convert to fraction form
    410,747/898,793 = 898,793/x
  3. Step 3: Cross multiply
    410,747x = 898,793 × 898,793
  4. Step 4: Simplify right side
    410,747x = 807,828,856,849
  5. Step 5: Solve for x
    x = 807,828,856,849/410,747
  6. Step 6: Final answer
    x = 1,966,731.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.