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Finding the Third Proportional to 529,840 and 1,135,434

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Solution

The third proportional to 529,840 and 1,135,434 is: 2,433,206.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,840 : 1,135,434 = 1,135,434 : x
  2. Step 2: Convert to fraction form
    529,840/1,135,434 = 1,135,434/x
  3. Step 3: Cross multiply
    529,840x = 1,135,434 × 1,135,434
  4. Step 4: Simplify right side
    529,840x = 1,289,210,368,356
  5. Step 5: Solve for x
    x = 1,289,210,368,356/529,840
  6. Step 6: Final answer
    x = 2,433,206.95

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Why These Related Problems?

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