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Finding the Third Proportional to 1,099,413 and 2,386,827

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Solution

The third proportional to 1,099,413 and 2,386,827 is: 5,181,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099,413 : 2,386,827 = 2,386,827 : x
  2. Step 2: Convert to fraction form
    1,099,413/2,386,827 = 2,386,827/x
  3. Step 3: Cross multiply
    1,099,413x = 2,386,827 × 2,386,827
  4. Step 4: Simplify right side
    1,099,413x = 5,696,943,127,929
  5. Step 5: Solve for x
    x = 5,696,943,127,929/1,099,413
  6. Step 6: Final answer
    x = 5,181,804.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.