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Finding the Third Proportional to 607,704 and 943,412

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Solution

The third proportional to 607,704 and 943,412 is: 1,464,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,704 : 943,412 = 943,412 : x
  2. Step 2: Convert to fraction form
    607,704/943,412 = 943,412/x
  3. Step 3: Cross multiply
    607,704x = 943,412 × 943,412
  4. Step 4: Simplify right side
    607,704x = 890,026,201,744
  5. Step 5: Solve for x
    x = 890,026,201,744/607,704
  6. Step 6: Final answer
    x = 1,464,571.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.