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Finding the Third Proportional to 1,101,462 and 1,702,214

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Solution

The third proportional to 1,101,462 and 1,702,214 is: 2,630,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,462 : 1,702,214 = 1,702,214 : x
  2. Step 2: Convert to fraction form
    1,101,462/1,702,214 = 1,702,214/x
  3. Step 3: Cross multiply
    1,101,462x = 1,702,214 × 1,702,214
  4. Step 4: Simplify right side
    1,101,462x = 2,897,532,501,796
  5. Step 5: Solve for x
    x = 2,897,532,501,796/1,101,462
  6. Step 6: Final answer
    x = 2,630,624.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.