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Finding the Third Proportional to 1,514,817 and 2,276,113.50

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Solution

The third proportional to 1,514,817 and 2,276,113.50 is: 3,420,012.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,817 : 2,276,113.50 = 2,276,113.50 : x
  2. Step 2: Convert to fraction form
    1,514,817/2,276,113.50 = 2,276,113.50/x
  3. Step 3: Cross multiply
    1,514,817x = 2,276,113.50 × 2,276,113.50
  4. Step 4: Simplify right side
    1,514,817x = 5,180,692,664,882.25
  5. Step 5: Solve for x
    x = 5,180,692,664,882.25/1,514,817
  6. Step 6: Final answer
    x = 3,420,012.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.