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Finding the Third Proportional to 1,640,538 and 3,514,356

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Solution

The third proportional to 1,640,538 and 3,514,356 is: 7,528,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,538 : 3,514,356 = 3,514,356 : x
  2. Step 2: Convert to fraction form
    1,640,538/3,514,356 = 3,514,356/x
  3. Step 3: Cross multiply
    1,640,538x = 3,514,356 × 3,514,356
  4. Step 4: Simplify right side
    1,640,538x = 12,350,698,094,736
  5. Step 5: Solve for x
    x = 12,350,698,094,736/1,640,538
  6. Step 6: Final answer
    x = 7,528,443.78

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