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Finding the Third Proportional to 900,099 and 1,920,726

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Solution

The third proportional to 900,099 and 1,920,726 is: 4,098,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,099 : 1,920,726 = 1,920,726 : x
  2. Step 2: Convert to fraction form
    900,099/1,920,726 = 1,920,726/x
  3. Step 3: Cross multiply
    900,099x = 1,920,726 × 1,920,726
  4. Step 4: Simplify right side
    900,099x = 3,689,188,367,076
  5. Step 5: Solve for x
    x = 3,689,188,367,076/900,099
  6. Step 6: Final answer
    x = 4,098,647.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.