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Finding the Third Proportional to 520,139 and 1,135,534

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Solution

The third proportional to 520,139 and 1,135,534 is: 2,479,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,139 : 1,135,534 = 1,135,534 : x
  2. Step 2: Convert to fraction form
    520,139/1,135,534 = 1,135,534/x
  3. Step 3: Cross multiply
    520,139x = 1,135,534 × 1,135,534
  4. Step 4: Simplify right side
    520,139x = 1,289,437,465,156
  5. Step 5: Solve for x
    x = 1,289,437,465,156/520,139
  6. Step 6: Final answer
    x = 2,479,024.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.