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Finding the Third Proportional to 2,198,140 and 4,632,440

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Solution

The third proportional to 2,198,140 and 4,632,440 is: 9,762,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,140 : 4,632,440 = 4,632,440 : x
  2. Step 2: Convert to fraction form
    2,198,140/4,632,440 = 4,632,440/x
  3. Step 3: Cross multiply
    2,198,140x = 4,632,440 × 4,632,440
  4. Step 4: Simplify right side
    2,198,140x = 21,459,500,353,600
  5. Step 5: Solve for x
    x = 21,459,500,353,600/2,198,140
  6. Step 6: Final answer
    x = 9,762,572.15

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.