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Finding the Third Proportional to 2,409,999 and 3,482,319

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Solution

The third proportional to 2,409,999 and 3,482,319 is: 5,031,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,999 : 3,482,319 = 3,482,319 : x
  2. Step 2: Convert to fraction form
    2,409,999/3,482,319 = 3,482,319/x
  3. Step 3: Cross multiply
    2,409,999x = 3,482,319 × 3,482,319
  4. Step 4: Simplify right side
    2,409,999x = 12,126,545,617,761
  5. Step 5: Solve for x
    x = 12,126,545,617,761/2,409,999
  6. Step 6: Final answer
    x = 5,031,763.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.