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Finding the Third Proportional to 530,982 and 1,146,408

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Solution

The third proportional to 530,982 and 1,146,408 is: 2,475,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,982 : 1,146,408 = 1,146,408 : x
  2. Step 2: Convert to fraction form
    530,982/1,146,408 = 1,146,408/x
  3. Step 3: Cross multiply
    530,982x = 1,146,408 × 1,146,408
  4. Step 4: Simplify right side
    530,982x = 1,314,251,302,464
  5. Step 5: Solve for x
    x = 1,314,251,302,464/530,982
  6. Step 6: Final answer
    x = 2,475,133.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.