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Finding the Third Proportional to 472,518 and 1,010,604

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Solution

The third proportional to 472,518 and 1,010,604 is: 2,161,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,518 : 1,010,604 = 1,010,604 : x
  2. Step 2: Convert to fraction form
    472,518/1,010,604 = 1,010,604/x
  3. Step 3: Cross multiply
    472,518x = 1,010,604 × 1,010,604
  4. Step 4: Simplify right side
    472,518x = 1,021,320,444,816
  5. Step 5: Solve for x
    x = 1,021,320,444,816/472,518
  6. Step 6: Final answer
    x = 2,161,442.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.