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Finding the Third Proportional to 505,603 and 1,092,294

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Solution

The third proportional to 505,603 and 1,092,294 is: 2,359,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,603 : 1,092,294 = 1,092,294 : x
  2. Step 2: Convert to fraction form
    505,603/1,092,294 = 1,092,294/x
  3. Step 3: Cross multiply
    505,603x = 1,092,294 × 1,092,294
  4. Step 4: Simplify right side
    505,603x = 1,193,106,182,436
  5. Step 5: Solve for x
    x = 1,193,106,182,436/505,603
  6. Step 6: Final answer
    x = 2,359,768.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.