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Finding the Third Proportional to 555,146 and 1,214,767

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Solution

The third proportional to 555,146 and 1,214,767 is: 2,658,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,146 : 1,214,767 = 1,214,767 : x
  2. Step 2: Convert to fraction form
    555,146/1,214,767 = 1,214,767/x
  3. Step 3: Cross multiply
    555,146x = 1,214,767 × 1,214,767
  4. Step 4: Simplify right side
    555,146x = 1,475,658,864,289
  5. Step 5: Solve for x
    x = 1,475,658,864,289/555,146
  6. Step 6: Final answer
    x = 2,658,145.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.