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Finding the Third Proportional to 2,206,688 and 4,761,724

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Solution

The third proportional to 2,206,688 and 4,761,724 is: 10,275,134.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,688 : 4,761,724 = 4,761,724 : x
  2. Step 2: Convert to fraction form
    2,206,688/4,761,724 = 4,761,724/x
  3. Step 3: Cross multiply
    2,206,688x = 4,761,724 × 4,761,724
  4. Step 4: Simplify right side
    2,206,688x = 22,674,015,452,176
  5. Step 5: Solve for x
    x = 22,674,015,452,176/2,206,688
  6. Step 6: Final answer
    x = 10,275,134.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.