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Finding the Third Proportional to 906,666 and 1,985,268

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Solution

The third proportional to 906,666 and 1,985,268 is: 4,347,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,666 : 1,985,268 = 1,985,268 : x
  2. Step 2: Convert to fraction form
    906,666/1,985,268 = 1,985,268/x
  3. Step 3: Cross multiply
    906,666x = 1,985,268 × 1,985,268
  4. Step 4: Simplify right side
    906,666x = 3,941,289,031,824
  5. Step 5: Solve for x
    x = 3,941,289,031,824/906,666
  6. Step 6: Final answer
    x = 4,347,013.16

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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.