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Finding the Third Proportional to 2,486,319 and 3,509,424

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Solution

The third proportional to 2,486,319 and 3,509,424 is: 4,953,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,319 : 3,509,424 = 3,509,424 : x
  2. Step 2: Convert to fraction form
    2,486,319/3,509,424 = 3,509,424/x
  3. Step 3: Cross multiply
    2,486,319x = 3,509,424 × 3,509,424
  4. Step 4: Simplify right side
    2,486,319x = 12,316,056,811,776
  5. Step 5: Solve for x
    x = 12,316,056,811,776/2,486,319
  6. Step 6: Final answer
    x = 4,953,530.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.