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Finding the Third Proportional to 797,573 and 1,225,924

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Solution

The third proportional to 797,573 and 1,225,924 is: 1,884,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,573 : 1,225,924 = 1,225,924 : x
  2. Step 2: Convert to fraction form
    797,573/1,225,924 = 1,225,924/x
  3. Step 3: Cross multiply
    797,573x = 1,225,924 × 1,225,924
  4. Step 4: Simplify right side
    797,573x = 1,502,889,653,776
  5. Step 5: Solve for x
    x = 1,502,889,653,776/797,573
  6. Step 6: Final answer
    x = 1,884,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.