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Finding the Third Proportional to 604,800 and 1,302,048

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Solution

The third proportional to 604,800 and 1,302,048 is: 2,803,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,800 : 1,302,048 = 1,302,048 : x
  2. Step 2: Convert to fraction form
    604,800/1,302,048 = 1,302,048/x
  3. Step 3: Cross multiply
    604,800x = 1,302,048 × 1,302,048
  4. Step 4: Simplify right side
    604,800x = 1,695,328,994,304
  5. Step 5: Solve for x
    x = 1,695,328,994,304/604,800
  6. Step 6: Final answer
    x = 2,803,123.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.