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Finding the Third Proportional to 1,846,566 and 2,762,471

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Solution

The third proportional to 1,846,566 and 2,762,471 is: 4,132,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846,566 : 2,762,471 = 2,762,471 : x
  2. Step 2: Convert to fraction form
    1,846,566/2,762,471 = 2,762,471/x
  3. Step 3: Cross multiply
    1,846,566x = 2,762,471 × 2,762,471
  4. Step 4: Simplify right side
    1,846,566x = 7,631,246,025,841
  5. Step 5: Solve for x
    x = 7,631,246,025,841/1,846,566
  6. Step 6: Final answer
    x = 4,132,668.98

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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.