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Finding the Third Proportional to 1,817,419 and 2,851,231.50

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Solution

The third proportional to 1,817,419 and 2,851,231.50 is: 4,473,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,419 : 2,851,231.50 = 2,851,231.50 : x
  2. Step 2: Convert to fraction form
    1,817,419/2,851,231.50 = 2,851,231.50/x
  3. Step 3: Cross multiply
    1,817,419x = 2,851,231.50 × 2,851,231.50
  4. Step 4: Simplify right side
    1,817,419x = 8,129,521,066,592.25
  5. Step 5: Solve for x
    x = 8,129,521,066,592.25/1,817,419
  6. Step 6: Final answer
    x = 4,473,113.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.