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Finding the Third Proportional to 1,214,748 and 2,812,218

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Solution

The third proportional to 1,214,748 and 2,812,218 is: 6,510,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214,748 : 2,812,218 = 2,812,218 : x
  2. Step 2: Convert to fraction form
    1,214,748/2,812,218 = 2,812,218/x
  3. Step 3: Cross multiply
    1,214,748x = 2,812,218 × 2,812,218
  4. Step 4: Simplify right side
    1,214,748x = 7,908,570,079,524
  5. Step 5: Solve for x
    x = 7,908,570,079,524/1,214,748
  6. Step 6: Final answer
    x = 6,510,461.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.