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Finding the Third Proportional to 480,963 and 925,062

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Solution

The third proportional to 480,963 and 925,062 is: 1,779,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,963 : 925,062 = 925,062 : x
  2. Step 2: Convert to fraction form
    480,963/925,062 = 925,062/x
  3. Step 3: Cross multiply
    480,963x = 925,062 × 925,062
  4. Step 4: Simplify right side
    480,963x = 855,739,703,844
  5. Step 5: Solve for x
    x = 855,739,703,844/480,963
  6. Step 6: Final answer
    x = 1,779,221.49

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.