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Finding the Third Proportional to 842,985 and 1,846,401

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Solution

The third proportional to 842,985 and 1,846,401 is: 4,044,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,985 : 1,846,401 = 1,846,401 : x
  2. Step 2: Convert to fraction form
    842,985/1,846,401 = 1,846,401/x
  3. Step 3: Cross multiply
    842,985x = 1,846,401 × 1,846,401
  4. Step 4: Simplify right side
    842,985x = 3,409,196,652,801
  5. Step 5: Solve for x
    x = 3,409,196,652,801/842,985
  6. Step 6: Final answer
    x = 4,044,196.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.