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Finding the Third Proportional to 1,430,811 and 3,027,253.50

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Solution

The third proportional to 1,430,811 and 3,027,253.50 is: 6,404,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,811 : 3,027,253.50 = 3,027,253.50 : x
  2. Step 2: Convert to fraction form
    1,430,811/3,027,253.50 = 3,027,253.50/x
  3. Step 3: Cross multiply
    1,430,811x = 3,027,253.50 × 3,027,253.50
  4. Step 4: Simplify right side
    1,430,811x = 9,164,263,753,262.25
  5. Step 5: Solve for x
    x = 9,164,263,753,262.25/1,430,811
  6. Step 6: Final answer
    x = 6,404,943.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.