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Finding the Third Proportional to 472,521 and 1,010,610

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Solution

The third proportional to 472,521 and 1,010,610 is: 2,161,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,521 : 1,010,610 = 1,010,610 : x
  2. Step 2: Convert to fraction form
    472,521/1,010,610 = 1,010,610/x
  3. Step 3: Cross multiply
    472,521x = 1,010,610 × 1,010,610
  4. Step 4: Simplify right side
    472,521x = 1,021,332,572,100
  5. Step 5: Solve for x
    x = 1,021,332,572,100/472,521
  6. Step 6: Final answer
    x = 2,161,454.35

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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.