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Finding the Third Proportional to 797,616 and 1,225,984

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Solution

The third proportional to 797,616 and 1,225,984 is: 1,884,411.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,616 : 1,225,984 = 1,225,984 : x
  2. Step 2: Convert to fraction form
    797,616/1,225,984 = 1,225,984/x
  3. Step 3: Cross multiply
    797,616x = 1,225,984 × 1,225,984
  4. Step 4: Simplify right side
    797,616x = 1,503,036,768,256
  5. Step 5: Solve for x
    x = 1,503,036,768,256/797,616
  6. Step 6: Final answer
    x = 1,884,411.51

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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.