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Finding the Third Proportional to 1,210,823 and 2,569,237

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Solution

The third proportional to 1,210,823 and 2,569,237 is: 5,451,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210,823 : 2,569,237 = 2,569,237 : x
  2. Step 2: Convert to fraction form
    1,210,823/2,569,237 = 2,569,237/x
  3. Step 3: Cross multiply
    1,210,823x = 2,569,237 × 2,569,237
  4. Step 4: Simplify right side
    1,210,823x = 6,600,978,762,169
  5. Step 5: Solve for x
    x = 6,600,978,762,169/1,210,823
  6. Step 6: Final answer
    x = 5,451,646.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.