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Finding the Third Proportional to 1,765,810 and 3,811,394

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Solution

The third proportional to 1,765,810 and 3,811,394 is: 8,226,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,810 : 3,811,394 = 3,811,394 : x
  2. Step 2: Convert to fraction form
    1,765,810/3,811,394 = 3,811,394/x
  3. Step 3: Cross multiply
    1,765,810x = 3,811,394 × 3,811,394
  4. Step 4: Simplify right side
    1,765,810x = 14,526,724,223,236
  5. Step 5: Solve for x
    x = 14,526,724,223,236/1,765,810
  6. Step 6: Final answer
    x = 8,226,663.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.