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Finding the Third Proportional to 517,820 and 1,107,596

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Solution

The third proportional to 517,820 and 1,107,596 is: 2,369,102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,820 : 1,107,596 = 1,107,596 : x
  2. Step 2: Convert to fraction form
    517,820/1,107,596 = 1,107,596/x
  3. Step 3: Cross multiply
    517,820x = 1,107,596 × 1,107,596
  4. Step 4: Simplify right side
    517,820x = 1,226,768,899,216
  5. Step 5: Solve for x
    x = 1,226,768,899,216/517,820
  6. Step 6: Final answer
    x = 2,369,102.97

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.