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Finding the Third Proportional to 686,884 and 1,475,336

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Solution

The third proportional to 686,884 and 1,475,336 is: 3,168,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,884 : 1,475,336 = 1,475,336 : x
  2. Step 2: Convert to fraction form
    686,884/1,475,336 = 1,475,336/x
  3. Step 3: Cross multiply
    686,884x = 1,475,336 × 1,475,336
  4. Step 4: Simplify right side
    686,884x = 2,176,616,312,896
  5. Step 5: Solve for x
    x = 2,176,616,312,896/686,884
  6. Step 6: Final answer
    x = 3,168,826.63

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.