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Finding the Third Proportional to 1,006,893 and 1,524,963

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Solution

The third proportional to 1,006,893 and 1,524,963 is: 2,309,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,893 : 1,524,963 = 1,524,963 : x
  2. Step 2: Convert to fraction form
    1,006,893/1,524,963 = 1,524,963/x
  3. Step 3: Cross multiply
    1,006,893x = 1,524,963 × 1,524,963
  4. Step 4: Simplify right side
    1,006,893x = 2,325,512,151,369
  5. Step 5: Solve for x
    x = 2,325,512,151,369/1,006,893
  6. Step 6: Final answer
    x = 2,309,592.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.