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Finding the Third Proportional to 776,277 and 1,697,382

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Solution

The third proportional to 776,277 and 1,697,382 is: 3,711,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,277 : 1,697,382 = 1,697,382 : x
  2. Step 2: Convert to fraction form
    776,277/1,697,382 = 1,697,382/x
  3. Step 3: Cross multiply
    776,277x = 1,697,382 × 1,697,382
  4. Step 4: Simplify right side
    776,277x = 2,881,105,653,924
  5. Step 5: Solve for x
    x = 2,881,105,653,924/776,277
  6. Step 6: Final answer
    x = 3,711,440.19

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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.