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Finding the Third Proportional to 767,583 and 1,201,392

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Solution

The third proportional to 767,583 and 1,201,392 is: 1,880,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,583 : 1,201,392 = 1,201,392 : x
  2. Step 2: Convert to fraction form
    767,583/1,201,392 = 1,201,392/x
  3. Step 3: Cross multiply
    767,583x = 1,201,392 × 1,201,392
  4. Step 4: Simplify right side
    767,583x = 1,443,342,737,664
  5. Step 5: Solve for x
    x = 1,443,342,737,664/767,583
  6. Step 6: Final answer
    x = 1,880,373.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.