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Finding the Third Proportional to 532,812 and 1,141,434

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Solution

The third proportional to 532,812 and 1,141,434 is: 2,445,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,812 : 1,141,434 = 1,141,434 : x
  2. Step 2: Convert to fraction form
    532,812/1,141,434 = 1,141,434/x
  3. Step 3: Cross multiply
    532,812x = 1,141,434 × 1,141,434
  4. Step 4: Simplify right side
    532,812x = 1,302,871,576,356
  5. Step 5: Solve for x
    x = 1,302,871,576,356/532,812
  6. Step 6: Final answer
    x = 2,445,274.46

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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.