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Finding the Third Proportional to 734,924 and 1,574,824

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Solution

The third proportional to 734,924 and 1,574,824 is: 3,374,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,924 : 1,574,824 = 1,574,824 : x
  2. Step 2: Convert to fraction form
    734,924/1,574,824 = 1,574,824/x
  3. Step 3: Cross multiply
    734,924x = 1,574,824 × 1,574,824
  4. Step 4: Simplify right side
    734,924x = 2,480,070,630,976
  5. Step 5: Solve for x
    x = 2,480,070,630,976/734,924
  6. Step 6: Final answer
    x = 3,374,594.69

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.