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Finding the Third Proportional to 631,458 and 1,352,772

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Solution

The third proportional to 631,458 and 1,352,772 is: 2,898,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,458 : 1,352,772 = 1,352,772 : x
  2. Step 2: Convert to fraction form
    631,458/1,352,772 = 1,352,772/x
  3. Step 3: Cross multiply
    631,458x = 1,352,772 × 1,352,772
  4. Step 4: Simplify right side
    631,458x = 1,829,992,083,984
  5. Step 5: Solve for x
    x = 1,829,992,083,984/631,458
  6. Step 6: Final answer
    x = 2,898,042.44

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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.