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Finding the Third Proportional to 3,801,009 and 5,890,459.50

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Solution

The third proportional to 3,801,009 and 5,890,459.50 is: 9,128,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801,009 : 5,890,459.50 = 5,890,459.50 : x
  2. Step 2: Convert to fraction form
    3,801,009/5,890,459.50 = 5,890,459.50/x
  3. Step 3: Cross multiply
    3,801,009x = 5,890,459.50 × 5,890,459.50
  4. Step 4: Simplify right side
    3,801,009x = 34,697,513,121,140.25
  5. Step 5: Solve for x
    x = 34,697,513,121,140.25/3,801,009
  6. Step 6: Final answer
    x = 9,128,500.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.