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Finding the Third Proportional to 1,506,323 and 3,318,218

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Solution

The third proportional to 1,506,323 and 3,318,218 is: 7,309,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506,323 : 3,318,218 = 3,318,218 : x
  2. Step 2: Convert to fraction form
    1,506,323/3,318,218 = 3,318,218/x
  3. Step 3: Cross multiply
    1,506,323x = 3,318,218 × 3,318,218
  4. Step 4: Simplify right side
    1,506,323x = 11,010,570,695,524
  5. Step 5: Solve for x
    x = 11,010,570,695,524/1,506,323
  6. Step 6: Final answer
    x = 7,309,568.20

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Why These Related Problems?

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