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Finding the Third Proportional to 655,216 and 1,421,888

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Solution

The third proportional to 655,216 and 1,421,888 is: 3,085,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,216 : 1,421,888 = 1,421,888 : x
  2. Step 2: Convert to fraction form
    655,216/1,421,888 = 1,421,888/x
  3. Step 3: Cross multiply
    655,216x = 1,421,888 × 1,421,888
  4. Step 4: Simplify right side
    655,216x = 2,021,765,484,544
  5. Step 5: Solve for x
    x = 2,021,765,484,544/655,216
  6. Step 6: Final answer
    x = 3,085,647.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.