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Finding the Third Proportional to 410,034 and 887,460

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Solution

The third proportional to 410,034 and 887,460 is: 1,920,780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,034 : 887,460 = 887,460 : x
  2. Step 2: Convert to fraction form
    410,034/887,460 = 887,460/x
  3. Step 3: Cross multiply
    410,034x = 887,460 × 887,460
  4. Step 4: Simplify right side
    410,034x = 787,585,251,600
  5. Step 5: Solve for x
    x = 787,585,251,600/410,034
  6. Step 6: Final answer
    x = 1,920,780.35

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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.