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Finding the Third Proportional to 2,038,262 and 4,442,751

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Solution

The third proportional to 2,038,262 and 4,442,751 is: 9,683,758.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038,262 : 4,442,751 = 4,442,751 : x
  2. Step 2: Convert to fraction form
    2,038,262/4,442,751 = 4,442,751/x
  3. Step 3: Cross multiply
    2,038,262x = 4,442,751 × 4,442,751
  4. Step 4: Simplify right side
    2,038,262x = 19,738,036,448,001
  5. Step 5: Solve for x
    x = 19,738,036,448,001/2,038,262
  6. Step 6: Final answer
    x = 9,683,758.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.