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Finding the Third Proportional to 601,346 and 1,398,281

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Solution

The third proportional to 601,346 and 1,398,281 is: 3,251,355.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,346 : 1,398,281 = 1,398,281 : x
  2. Step 2: Convert to fraction form
    601,346/1,398,281 = 1,398,281/x
  3. Step 3: Cross multiply
    601,346x = 1,398,281 × 1,398,281
  4. Step 4: Simplify right side
    601,346x = 1,955,189,754,961
  5. Step 5: Solve for x
    x = 1,955,189,754,961/601,346
  6. Step 6: Final answer
    x = 3,251,355.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.