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Finding the Third Proportional to 524,143 and 1,133,974

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Solution

The third proportional to 524,143 and 1,133,974 is: 2,453,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,143 : 1,133,974 = 1,133,974 : x
  2. Step 2: Convert to fraction form
    524,143/1,133,974 = 1,133,974/x
  3. Step 3: Cross multiply
    524,143x = 1,133,974 × 1,133,974
  4. Step 4: Simplify right side
    524,143x = 1,285,897,032,676
  5. Step 5: Solve for x
    x = 1,285,897,032,676/524,143
  6. Step 6: Final answer
    x = 2,453,332.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.