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Finding the Third Proportional to 2,097,774 and 4,587,750

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Solution

The third proportional to 2,097,774 and 4,587,750 is: 10,033,230.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,774 : 4,587,750 = 4,587,750 : x
  2. Step 2: Convert to fraction form
    2,097,774/4,587,750 = 4,587,750/x
  3. Step 3: Cross multiply
    2,097,774x = 4,587,750 × 4,587,750
  4. Step 4: Simplify right side
    2,097,774x = 21,047,450,062,500
  5. Step 5: Solve for x
    x = 21,047,450,062,500/2,097,774
  6. Step 6: Final answer
    x = 10,033,230.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.