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Finding the Third Proportional to 738,963 and 1,591,875

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Solution

The third proportional to 738,963 and 1,591,875 is: 3,429,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,963 : 1,591,875 = 1,591,875 : x
  2. Step 2: Convert to fraction form
    738,963/1,591,875 = 1,591,875/x
  3. Step 3: Cross multiply
    738,963x = 1,591,875 × 1,591,875
  4. Step 4: Simplify right side
    738,963x = 2,534,066,015,625
  5. Step 5: Solve for x
    x = 2,534,066,015,625/738,963
  6. Step 6: Final answer
    x = 3,429,219.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.