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Finding the Third Proportional to 738,135 and 1,615,142.25

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Solution

The third proportional to 738,135 and 1,615,142.25 is: 3,534,156.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,135 : 1,615,142.25 = 1,615,142.25 : x
  2. Step 2: Convert to fraction form
    738,135/1,615,142.25 = 1,615,142.25/x
  3. Step 3: Cross multiply
    738,135x = 1,615,142.25 × 1,615,142.25
  4. Step 4: Simplify right side
    738,135x = 2,608,684,487,735.06
  5. Step 5: Solve for x
    x = 2,608,684,487,735.06/738,135
  6. Step 6: Final answer
    x = 3,534,156.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.