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Finding the Third Proportional to 1,474,965 and 3,209,500.50

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Solution

The third proportional to 1,474,965 and 3,209,500.50 is: 6,983,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474,965 : 3,209,500.50 = 3,209,500.50 : x
  2. Step 2: Convert to fraction form
    1,474,965/3,209,500.50 = 3,209,500.50/x
  3. Step 3: Cross multiply
    1,474,965x = 3,209,500.50 × 3,209,500.50
  4. Step 4: Simplify right side
    1,474,965x = 10,300,893,459,500.25
  5. Step 5: Solve for x
    x = 10,300,893,459,500.25/1,474,965
  6. Step 6: Final answer
    x = 6,983,822.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.