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Finding the Third Proportional to 410,076 and 887,535

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Solution

The third proportional to 410,076 and 887,535 is: 1,920,908.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,076 : 887,535 = 887,535 : x
  2. Step 2: Convert to fraction form
    410,076/887,535 = 887,535/x
  3. Step 3: Cross multiply
    410,076x = 887,535 × 887,535
  4. Step 4: Simplify right side
    410,076x = 787,718,376,225
  5. Step 5: Solve for x
    x = 787,718,376,225/410,076
  6. Step 6: Final answer
    x = 1,920,908.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.