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Finding the Third Proportional to 1,026,811 and 1,596,221.50

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Solution

The third proportional to 1,026,811 and 1,596,221.50 is: 2,481,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,811 : 1,596,221.50 = 1,596,221.50 : x
  2. Step 2: Convert to fraction form
    1,026,811/1,596,221.50 = 1,596,221.50/x
  3. Step 3: Cross multiply
    1,026,811x = 1,596,221.50 × 1,596,221.50
  4. Step 4: Simplify right side
    1,026,811x = 2,547,923,077,062.25
  5. Step 5: Solve for x
    x = 2,547,923,077,062.25/1,026,811
  6. Step 6: Final answer
    x = 2,481,394.41

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