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Finding the Third Proportional to 519,982 and 1,139,229

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Solution

The third proportional to 519,982 and 1,139,229 is: 2,495,937.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,982 : 1,139,229 = 1,139,229 : x
  2. Step 2: Convert to fraction form
    519,982/1,139,229 = 1,139,229/x
  3. Step 3: Cross multiply
    519,982x = 1,139,229 × 1,139,229
  4. Step 4: Simplify right side
    519,982x = 1,297,842,714,441
  5. Step 5: Solve for x
    x = 1,297,842,714,441/519,982
  6. Step 6: Final answer
    x = 2,495,937.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.