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Finding the Third Proportional to 2,259,315 and 4,966,416

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Solution

The third proportional to 2,259,315 and 4,966,416 is: 10,917,153.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,259,315 : 4,966,416 = 4,966,416 : x
  2. Step 2: Convert to fraction form
    2,259,315/4,966,416 = 4,966,416/x
  3. Step 3: Cross multiply
    2,259,315x = 4,966,416 × 4,966,416
  4. Step 4: Simplify right side
    2,259,315x = 24,665,287,885,056
  5. Step 5: Solve for x
    x = 24,665,287,885,056/2,259,315
  6. Step 6: Final answer
    x = 10,917,153.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.