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Finding the Third Proportional to 906,709 and 1,906,886

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Solution

The third proportional to 906,709 and 1,906,886 is: 4,010,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,709 : 1,906,886 = 1,906,886 : x
  2. Step 2: Convert to fraction form
    906,709/1,906,886 = 1,906,886/x
  3. Step 3: Cross multiply
    906,709x = 1,906,886 × 1,906,886
  4. Step 4: Simplify right side
    906,709x = 3,636,214,216,996
  5. Step 5: Solve for x
    x = 3,636,214,216,996/906,709
  6. Step 6: Final answer
    x = 4,010,343.14

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.