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Finding the Third Proportional to 1,640,286 and 2,208,142

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Solution

The third proportional to 1,640,286 and 2,208,142 is: 2,972,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,286 : 2,208,142 = 2,208,142 : x
  2. Step 2: Convert to fraction form
    1,640,286/2,208,142 = 2,208,142/x
  3. Step 3: Cross multiply
    1,640,286x = 2,208,142 × 2,208,142
  4. Step 4: Simplify right side
    1,640,286x = 4,875,891,092,164
  5. Step 5: Solve for x
    x = 4,875,891,092,164/1,640,286
  6. Step 6: Final answer
    x = 2,972,585.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.