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Finding the Third Proportional to 2,129,564 and 3,216,526

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Solution

The third proportional to 2,129,564 and 3,216,526 is: 4,858,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,564 : 3,216,526 = 3,216,526 : x
  2. Step 2: Convert to fraction form
    2,129,564/3,216,526 = 3,216,526/x
  3. Step 3: Cross multiply
    2,129,564x = 3,216,526 × 3,216,526
  4. Step 4: Simplify right side
    2,129,564x = 10,346,039,508,676
  5. Step 5: Solve for x
    x = 10,346,039,508,676/2,129,564
  6. Step 6: Final answer
    x = 4,858,290.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.