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Finding the Third Proportional to 747,773 and 1,122,607

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Solution

The third proportional to 747,773 and 1,122,607 is: 1,685,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,773 : 1,122,607 = 1,122,607 : x
  2. Step 2: Convert to fraction form
    747,773/1,122,607 = 1,122,607/x
  3. Step 3: Cross multiply
    747,773x = 1,122,607 × 1,122,607
  4. Step 4: Simplify right side
    747,773x = 1,260,246,476,449
  5. Step 5: Solve for x
    x = 1,260,246,476,449/747,773
  6. Step 6: Final answer
    x = 1,685,332.95

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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.