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Finding the Third Proportional to 513,346 and 1,236,708

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Solution

The third proportional to 513,346 and 1,236,708 is: 2,979,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,346 : 1,236,708 = 1,236,708 : x
  2. Step 2: Convert to fraction form
    513,346/1,236,708 = 1,236,708/x
  3. Step 3: Cross multiply
    513,346x = 1,236,708 × 1,236,708
  4. Step 4: Simplify right side
    513,346x = 1,529,446,677,264
  5. Step 5: Solve for x
    x = 1,529,446,677,264/513,346
  6. Step 6: Final answer
    x = 2,979,368.06

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.