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Finding the Third Proportional to 595,600 and 921,048

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Solution

The third proportional to 595,600 and 921,048 is: 1,424,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,600 : 921,048 = 921,048 : x
  2. Step 2: Convert to fraction form
    595,600/921,048 = 921,048/x
  3. Step 3: Cross multiply
    595,600x = 921,048 × 921,048
  4. Step 4: Simplify right side
    595,600x = 848,329,418,304
  5. Step 5: Solve for x
    x = 848,329,418,304/595,600
  6. Step 6: Final answer
    x = 1,424,327.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.