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Finding the Third Proportional to 2,859,663 and 4,193,266.50

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Solution

The third proportional to 2,859,663 and 4,193,266.50 is: 6,148,795.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,663 : 4,193,266.50 = 4,193,266.50 : x
  2. Step 2: Convert to fraction form
    2,859,663/4,193,266.50 = 4,193,266.50/x
  3. Step 3: Cross multiply
    2,859,663x = 4,193,266.50 × 4,193,266.50
  4. Step 4: Simplify right side
    2,859,663x = 17,583,483,940,022.25
  5. Step 5: Solve for x
    x = 17,583,483,940,022.25/2,859,663
  6. Step 6: Final answer
    x = 6,148,795.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.