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Finding the Third Proportional to 425,846 and 921,820

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Solution

The third proportional to 425,846 and 921,820 is: 1,995,444.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,846 : 921,820 = 921,820 : x
  2. Step 2: Convert to fraction form
    425,846/921,820 = 921,820/x
  3. Step 3: Cross multiply
    425,846x = 921,820 × 921,820
  4. Step 4: Simplify right side
    425,846x = 849,752,112,400
  5. Step 5: Solve for x
    x = 849,752,112,400/425,846
  6. Step 6: Final answer
    x = 1,995,444.63

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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.