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Finding the Third Proportional to 779,032 and 1,232,504

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Solution

The third proportional to 779,032 and 1,232,504 is: 1,949,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,032 : 1,232,504 = 1,232,504 : x
  2. Step 2: Convert to fraction form
    779,032/1,232,504 = 1,232,504/x
  3. Step 3: Cross multiply
    779,032x = 1,232,504 × 1,232,504
  4. Step 4: Simplify right side
    779,032x = 1,519,066,110,016
  5. Step 5: Solve for x
    x = 1,519,066,110,016/779,032
  6. Step 6: Final answer
    x = 1,949,940.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.