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Finding the Third Proportional to 501,924 and 1,103,360

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Solution

The third proportional to 501,924 and 1,103,360 is: 2,425,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,924 : 1,103,360 = 1,103,360 : x
  2. Step 2: Convert to fraction form
    501,924/1,103,360 = 1,103,360/x
  3. Step 3: Cross multiply
    501,924x = 1,103,360 × 1,103,360
  4. Step 4: Simplify right side
    501,924x = 1,217,403,289,600
  5. Step 5: Solve for x
    x = 1,217,403,289,600/501,924
  6. Step 6: Final answer
    x = 2,425,473.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.