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Finding the Third Proportional to 2,057,017 and 3,083,557.50

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Solution

The third proportional to 2,057,017 and 3,083,557.50 is: 4,622,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,017 : 3,083,557.50 = 3,083,557.50 : x
  2. Step 2: Convert to fraction form
    2,057,017/3,083,557.50 = 3,083,557.50/x
  3. Step 3: Cross multiply
    2,057,017x = 3,083,557.50 × 3,083,557.50
  4. Step 4: Simplify right side
    2,057,017x = 9,508,326,855,806.25
  5. Step 5: Solve for x
    x = 9,508,326,855,806.25/2,057,017
  6. Step 6: Final answer
    x = 4,622,386.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.