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Finding the Third Proportional to 438,924 and 1,025,598

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Solution

The third proportional to 438,924 and 1,025,598 is: 2,396,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,924 : 1,025,598 = 1,025,598 : x
  2. Step 2: Convert to fraction form
    438,924/1,025,598 = 1,025,598/x
  3. Step 3: Cross multiply
    438,924x = 1,025,598 × 1,025,598
  4. Step 4: Simplify right side
    438,924x = 1,051,851,257,604
  5. Step 5: Solve for x
    x = 1,051,851,257,604/438,924
  6. Step 6: Final answer
    x = 2,396,431.40

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.