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Finding the Third Proportional to 852,472 and 1,420,584

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Solution

The third proportional to 852,472 and 1,420,584 is: 2,367,302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,472 : 1,420,584 = 1,420,584 : x
  2. Step 2: Convert to fraction form
    852,472/1,420,584 = 1,420,584/x
  3. Step 3: Cross multiply
    852,472x = 1,420,584 × 1,420,584
  4. Step 4: Simplify right side
    852,472x = 2,018,058,901,056
  5. Step 5: Solve for x
    x = 2,018,058,901,056/852,472
  6. Step 6: Final answer
    x = 2,367,302.27

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.