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Finding the Third Proportional to 893,088 and 1,288,656

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Solution

The third proportional to 893,088 and 1,288,656 is: 1,859,429.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,088 : 1,288,656 = 1,288,656 : x
  2. Step 2: Convert to fraction form
    893,088/1,288,656 = 1,288,656/x
  3. Step 3: Cross multiply
    893,088x = 1,288,656 × 1,288,656
  4. Step 4: Simplify right side
    893,088x = 1,660,634,286,336
  5. Step 5: Solve for x
    x = 1,660,634,286,336/893,088
  6. Step 6: Final answer
    x = 1,859,429.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.