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Finding the Third Proportional to 1,702,996 and 2,838,214

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Solution

The third proportional to 1,702,996 and 2,838,214 is: 4,730,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,996 : 2,838,214 = 2,838,214 : x
  2. Step 2: Convert to fraction form
    1,702,996/2,838,214 = 2,838,214/x
  3. Step 3: Cross multiply
    1,702,996x = 2,838,214 × 2,838,214
  4. Step 4: Simplify right side
    1,702,996x = 8,055,458,709,796
  5. Step 5: Solve for x
    x = 8,055,458,709,796/1,702,996
  6. Step 6: Final answer
    x = 4,730,168.90

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.