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Finding the Third Proportional to 600,942 and 899,541

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Solution

The third proportional to 600,942 and 899,541 is: 1,346,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,942 : 899,541 = 899,541 : x
  2. Step 2: Convert to fraction form
    600,942/899,541 = 899,541/x
  3. Step 3: Cross multiply
    600,942x = 899,541 × 899,541
  4. Step 4: Simplify right side
    600,942x = 809,174,010,681
  5. Step 5: Solve for x
    x = 809,174,010,681/600,942
  6. Step 6: Final answer
    x = 1,346,509.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.