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Finding the Third Proportional to 852,352 and 1,837,548

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Solution

The third proportional to 852,352 and 1,837,548 is: 3,961,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,352 : 1,837,548 = 1,837,548 : x
  2. Step 2: Convert to fraction form
    852,352/1,837,548 = 1,837,548/x
  3. Step 3: Cross multiply
    852,352x = 1,837,548 × 1,837,548
  4. Step 4: Simplify right side
    852,352x = 3,376,582,652,304
  5. Step 5: Solve for x
    x = 3,376,582,652,304/852,352
  6. Step 6: Final answer
    x = 3,961,488.51

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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.