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Finding the Third Proportional to 972,194 and 1,425,458

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Solution

The third proportional to 972,194 and 1,425,458 is: 2,090,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,194 : 1,425,458 = 1,425,458 : x
  2. Step 2: Convert to fraction form
    972,194/1,425,458 = 1,425,458/x
  3. Step 3: Cross multiply
    972,194x = 1,425,458 × 1,425,458
  4. Step 4: Simplify right side
    972,194x = 2,031,930,509,764
  5. Step 5: Solve for x
    x = 2,031,930,509,764/972,194
  6. Step 6: Final answer
    x = 2,090,046.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.