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Finding the Third Proportional to 809,790 and 1,772,124

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Solution

The third proportional to 809,790 and 1,772,124 is: 3,878,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,790 : 1,772,124 = 1,772,124 : x
  2. Step 2: Convert to fraction form
    809,790/1,772,124 = 1,772,124/x
  3. Step 3: Cross multiply
    809,790x = 1,772,124 × 1,772,124
  4. Step 4: Simplify right side
    809,790x = 3,140,423,471,376
  5. Step 5: Solve for x
    x = 3,140,423,471,376/809,790
  6. Step 6: Final answer
    x = 3,878,071.44

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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.