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Finding the Third Proportional to 872,352 and 1,776,780

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Solution

The third proportional to 872,352 and 1,776,780 is: 3,618,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,352 : 1,776,780 = 1,776,780 : x
  2. Step 2: Convert to fraction form
    872,352/1,776,780 = 1,776,780/x
  3. Step 3: Cross multiply
    872,352x = 1,776,780 × 1,776,780
  4. Step 4: Simplify right side
    872,352x = 3,156,947,168,400
  5. Step 5: Solve for x
    x = 3,156,947,168,400/872,352
  6. Step 6: Final answer
    x = 3,618,891.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.