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Finding the Third Proportional to 1,602,578 and 2,478,113

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Solution

The third proportional to 1,602,578 and 2,478,113 is: 3,831,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602,578 : 2,478,113 = 2,478,113 : x
  2. Step 2: Convert to fraction form
    1,602,578/2,478,113 = 2,478,113/x
  3. Step 3: Cross multiply
    1,602,578x = 2,478,113 × 2,478,113
  4. Step 4: Simplify right side
    1,602,578x = 6,141,044,040,769
  5. Step 5: Solve for x
    x = 6,141,044,040,769/1,602,578
  6. Step 6: Final answer
    x = 3,831,978.25

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.