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Finding the Third Proportional to 2,113,776 and 4,631,538

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Solution

The third proportional to 2,113,776 and 4,631,538 is: 10,148,258.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113,776 : 4,631,538 = 4,631,538 : x
  2. Step 2: Convert to fraction form
    2,113,776/4,631,538 = 4,631,538/x
  3. Step 3: Cross multiply
    2,113,776x = 4,631,538 × 4,631,538
  4. Step 4: Simplify right side
    2,113,776x = 21,451,144,245,444
  5. Step 5: Solve for x
    x = 21,451,144,245,444/2,113,776
  6. Step 6: Final answer
    x = 10,148,258.02

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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.