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Finding the Third Proportional to 797,576 and 1,225,928

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Solution

The third proportional to 797,576 and 1,225,928 is: 1,884,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,576 : 1,225,928 = 1,225,928 : x
  2. Step 2: Convert to fraction form
    797,576/1,225,928 = 1,225,928/x
  3. Step 3: Cross multiply
    797,576x = 1,225,928 × 1,225,928
  4. Step 4: Simplify right side
    797,576x = 1,502,899,461,184
  5. Step 5: Solve for x
    x = 1,502,899,461,184/797,576
  6. Step 6: Final answer
    x = 1,884,333.86

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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.