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Finding the Third Proportional to 777,643 and 1,617,378

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Solution

The third proportional to 777,643 and 1,617,378 is: 3,363,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,643 : 1,617,378 = 1,617,378 : x
  2. Step 2: Convert to fraction form
    777,643/1,617,378 = 1,617,378/x
  3. Step 3: Cross multiply
    777,643x = 1,617,378 × 1,617,378
  4. Step 4: Simplify right side
    777,643x = 2,615,911,594,884
  5. Step 5: Solve for x
    x = 2,615,911,594,884/777,643
  6. Step 6: Final answer
    x = 3,363,897.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.