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Finding the Third Proportional to 826,610 and 1,752,416

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Solution

The third proportional to 826,610 and 1,752,416 is: 3,715,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,610 : 1,752,416 = 1,752,416 : x
  2. Step 2: Convert to fraction form
    826,610/1,752,416 = 1,752,416/x
  3. Step 3: Cross multiply
    826,610x = 1,752,416 × 1,752,416
  4. Step 4: Simplify right side
    826,610x = 3,070,961,837,056
  5. Step 5: Solve for x
    x = 3,070,961,837,056/826,610
  6. Step 6: Final answer
    x = 3,715,127.86

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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.