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Finding the Third Proportional to 893,973 and 1,948,596

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Solution

The third proportional to 893,973 and 1,948,596 is: 4,247,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,973 : 1,948,596 = 1,948,596 : x
  2. Step 2: Convert to fraction form
    893,973/1,948,596 = 1,948,596/x
  3. Step 3: Cross multiply
    893,973x = 1,948,596 × 1,948,596
  4. Step 4: Simplify right side
    893,973x = 3,797,026,371,216
  5. Step 5: Solve for x
    x = 3,797,026,371,216/893,973
  6. Step 6: Final answer
    x = 4,247,361.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.