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Finding the Third Proportional to 600,324 and 1,067,541

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Solution

The third proportional to 600,324 and 1,067,541 is: 1,898,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,324 : 1,067,541 = 1,067,541 : x
  2. Step 2: Convert to fraction form
    600,324/1,067,541 = 1,067,541/x
  3. Step 3: Cross multiply
    600,324x = 1,067,541 × 1,067,541
  4. Step 4: Simplify right side
    600,324x = 1,139,643,786,681
  5. Step 5: Solve for x
    x = 1,139,643,786,681/600,324
  6. Step 6: Final answer
    x = 1,898,381.19

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.