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Finding the Third Proportional to 653,828.25 and 1,410,869.25

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Solution

The third proportional to 653,828.25 and 1,410,869.25 is: 3,044,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,828.25 : 1,410,869.25 = 1,410,869.25 : x
  2. Step 2: Convert to fraction form
    653,828.25/1,410,869.25 = 1,410,869.25/x
  3. Step 3: Cross multiply
    653,828.25x = 1,410,869.25 × 1,410,869.25
  4. Step 4: Simplify right side
    653,828.25x = 1,990,552,040,595.56
  5. Step 5: Solve for x
    x = 1,990,552,040,595.56/653,828.25
  6. Step 6: Final answer
    x = 3,044,457.07

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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.