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Finding the Third Proportional to 2,077,149 and 4,319,409

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Solution

The third proportional to 2,077,149 and 4,319,409 is: 8,982,164.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,149 : 4,319,409 = 4,319,409 : x
  2. Step 2: Convert to fraction form
    2,077,149/4,319,409 = 4,319,409/x
  3. Step 3: Cross multiply
    2,077,149x = 4,319,409 × 4,319,409
  4. Step 4: Simplify right side
    2,077,149x = 18,657,294,109,281
  5. Step 5: Solve for x
    x = 18,657,294,109,281/2,077,149
  6. Step 6: Final answer
    x = 8,982,164.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.