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Finding the Third Proportional to 410,072 and 887,536

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Solution

The third proportional to 410,072 and 887,536 is: 1,920,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,072 : 887,536 = 887,536 : x
  2. Step 2: Convert to fraction form
    410,072/887,536 = 887,536/x
  3. Step 3: Cross multiply
    410,072x = 887,536 × 887,536
  4. Step 4: Simplify right side
    410,072x = 787,720,151,296
  5. Step 5: Solve for x
    x = 787,720,151,296/410,072
  6. Step 6: Final answer
    x = 1,920,931.33

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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.