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Finding the Third Proportional to 1,739,219 and 2,708,214

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Solution

The third proportional to 1,739,219 and 2,708,214 is: 4,217,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739,219 : 2,708,214 = 2,708,214 : x
  2. Step 2: Convert to fraction form
    1,739,219/2,708,214 = 2,708,214/x
  3. Step 3: Cross multiply
    1,739,219x = 2,708,214 × 2,708,214
  4. Step 4: Simplify right side
    1,739,219x = 7,334,423,069,796
  5. Step 5: Solve for x
    x = 7,334,423,069,796/1,739,219
  6. Step 6: Final answer
    x = 4,217,078.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.