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Finding the Third Proportional to 982,346 and 2,171,158

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Solution

The third proportional to 982,346 and 2,171,158 is: 4,798,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,346 : 2,171,158 = 2,171,158 : x
  2. Step 2: Convert to fraction form
    982,346/2,171,158 = 2,171,158/x
  3. Step 3: Cross multiply
    982,346x = 2,171,158 × 2,171,158
  4. Step 4: Simplify right side
    982,346x = 4,713,927,060,964
  5. Step 5: Solve for x
    x = 4,713,927,060,964/982,346
  6. Step 6: Final answer
    x = 4,798,642.29

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.