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Finding the Third Proportional to 524,006 and 1,122,784

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Solution

The third proportional to 524,006 and 1,122,784 is: 2,405,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,006 : 1,122,784 = 1,122,784 : x
  2. Step 2: Convert to fraction form
    524,006/1,122,784 = 1,122,784/x
  3. Step 3: Cross multiply
    524,006x = 1,122,784 × 1,122,784
  4. Step 4: Simplify right side
    524,006x = 1,260,643,910,656
  5. Step 5: Solve for x
    x = 1,260,643,910,656/524,006
  6. Step 6: Final answer
    x = 2,405,781.44

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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.