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Finding the Third Proportional to 1,207,225 and 2,558,382

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Solution

The third proportional to 1,207,225 and 2,558,382 is: 5,421,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,225 : 2,558,382 = 2,558,382 : x
  2. Step 2: Convert to fraction form
    1,207,225/2,558,382 = 2,558,382/x
  3. Step 3: Cross multiply
    1,207,225x = 2,558,382 × 2,558,382
  4. Step 4: Simplify right side
    1,207,225x = 6,545,318,457,924
  5. Step 5: Solve for x
    x = 6,545,318,457,924/1,207,225
  6. Step 6: Final answer
    x = 5,421,788.36

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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.