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Finding the Third Proportional to 2,257,416 and 4,820,985

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Solution

The third proportional to 2,257,416 and 4,820,985 is: 10,295,796.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,416 : 4,820,985 = 4,820,985 : x
  2. Step 2: Convert to fraction form
    2,257,416/4,820,985 = 4,820,985/x
  3. Step 3: Cross multiply
    2,257,416x = 4,820,985 × 4,820,985
  4. Step 4: Simplify right side
    2,257,416x = 23,241,896,370,225
  5. Step 5: Solve for x
    x = 23,241,896,370,225/2,257,416
  6. Step 6: Final answer
    x = 10,295,796.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.