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Finding the Third Proportional to 738,944 and 1,588,392

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Solution

The third proportional to 738,944 and 1,588,392 is: 3,414,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,944 : 1,588,392 = 1,588,392 : x
  2. Step 2: Convert to fraction form
    738,944/1,588,392 = 1,588,392/x
  3. Step 3: Cross multiply
    738,944x = 1,588,392 × 1,588,392
  4. Step 4: Simplify right side
    738,944x = 2,522,989,145,664
  5. Step 5: Solve for x
    x = 2,522,989,145,664/738,944
  6. Step 6: Final answer
    x = 3,414,317.11

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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.