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Finding the Third Proportional to 410,084 and 883,032

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Solution

The third proportional to 410,084 and 883,032 is: 1,901,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,084 : 883,032 = 883,032 : x
  2. Step 2: Convert to fraction form
    410,084/883,032 = 883,032/x
  3. Step 3: Cross multiply
    410,084x = 883,032 × 883,032
  4. Step 4: Simplify right side
    410,084x = 779,745,513,024
  5. Step 5: Solve for x
    x = 779,745,513,024/410,084
  6. Step 6: Final answer
    x = 1,901,428.76

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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.