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Finding the Third Proportional to 702,027 and 1,656,652.50

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Solution

The third proportional to 702,027 and 1,656,652.50 is: 3,909,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,027 : 1,656,652.50 = 1,656,652.50 : x
  2. Step 2: Convert to fraction form
    702,027/1,656,652.50 = 1,656,652.50/x
  3. Step 3: Cross multiply
    702,027x = 1,656,652.50 × 1,656,652.50
  4. Step 4: Simplify right side
    702,027x = 2,744,497,505,756.25
  5. Step 5: Solve for x
    x = 2,744,497,505,756.25/702,027
  6. Step 6: Final answer
    x = 3,909,390.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.