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Finding the Third Proportional to 673,274 and 1,475,320

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Solution

The third proportional to 673,274 and 1,475,320 is: 3,232,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,274 : 1,475,320 = 1,475,320 : x
  2. Step 2: Convert to fraction form
    673,274/1,475,320 = 1,475,320/x
  3. Step 3: Cross multiply
    673,274x = 1,475,320 × 1,475,320
  4. Step 4: Simplify right side
    673,274x = 2,176,569,102,400
  5. Step 5: Solve for x
    x = 2,176,569,102,400/673,274
  6. Step 6: Final answer
    x = 3,232,813.24

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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.