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Finding the Third Proportional to 906,574 and 1,973,286

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Solution

The third proportional to 906,574 and 1,973,286 is: 4,295,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,574 : 1,973,286 = 1,973,286 : x
  2. Step 2: Convert to fraction form
    906,574/1,973,286 = 1,973,286/x
  3. Step 3: Cross multiply
    906,574x = 1,973,286 × 1,973,286
  4. Step 4: Simplify right side
    906,574x = 3,893,857,637,796
  5. Step 5: Solve for x
    x = 3,893,857,637,796/906,574
  6. Step 6: Final answer
    x = 4,295,134.91

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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.