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Finding the Third Proportional to 893,692 and 1,323,178

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Solution

The third proportional to 893,692 and 1,323,178 is: 1,959,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,692 : 1,323,178 = 1,323,178 : x
  2. Step 2: Convert to fraction form
    893,692/1,323,178 = 1,323,178/x
  3. Step 3: Cross multiply
    893,692x = 1,323,178 × 1,323,178
  4. Step 4: Simplify right side
    893,692x = 1,750,800,019,684
  5. Step 5: Solve for x
    x = 1,750,800,019,684/893,692
  6. Step 6: Final answer
    x = 1,959,064.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.