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Finding the Third Proportional to 2,256,988 and 3,464,214

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Solution

The third proportional to 2,256,988 and 3,464,214 is: 5,317,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256,988 : 3,464,214 = 3,464,214 : x
  2. Step 2: Convert to fraction form
    2,256,988/3,464,214 = 3,464,214/x
  3. Step 3: Cross multiply
    2,256,988x = 3,464,214 × 3,464,214
  4. Step 4: Simplify right side
    2,256,988x = 12,000,778,637,796
  5. Step 5: Solve for x
    x = 12,000,778,637,796/2,256,988
  6. Step 6: Final answer
    x = 5,317,165.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.