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Finding the Third Proportional to 1,709,347 and 3,736,214

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Solution

The third proportional to 1,709,347 and 3,736,214 is: 8,166,448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709,347 : 3,736,214 = 3,736,214 : x
  2. Step 2: Convert to fraction form
    1,709,347/3,736,214 = 3,736,214/x
  3. Step 3: Cross multiply
    1,709,347x = 3,736,214 × 3,736,214
  4. Step 4: Simplify right side
    1,709,347x = 13,959,295,053,796
  5. Step 5: Solve for x
    x = 13,959,295,053,796/1,709,347
  6. Step 6: Final answer
    x = 8,166,448.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.