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Finding the Third Proportional to 855,024 and 1,829,511

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Solution

The third proportional to 855,024 and 1,829,511 is: 3,914,639.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,024 : 1,829,511 = 1,829,511 : x
  2. Step 2: Convert to fraction form
    855,024/1,829,511 = 1,829,511/x
  3. Step 3: Cross multiply
    855,024x = 1,829,511 × 1,829,511
  4. Step 4: Simplify right side
    855,024x = 3,347,110,499,121
  5. Step 5: Solve for x
    x = 3,347,110,499,121/855,024
  6. Step 6: Final answer
    x = 3,914,639.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.