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Finding the Third Proportional to 631,320 and 1,351,458

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Solution

The third proportional to 631,320 and 1,351,458 is: 2,893,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,320 : 1,351,458 = 1,351,458 : x
  2. Step 2: Convert to fraction form
    631,320/1,351,458 = 1,351,458/x
  3. Step 3: Cross multiply
    631,320x = 1,351,458 × 1,351,458
  4. Step 4: Simplify right side
    631,320x = 1,826,438,725,764
  5. Step 5: Solve for x
    x = 1,826,438,725,764/631,320
  6. Step 6: Final answer
    x = 2,893,047.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.