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Finding the Third Proportional to 1,609,538 and 3,480,424

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Solution

The third proportional to 1,609,538 and 3,480,424 is: 7,525,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609,538 : 3,480,424 = 3,480,424 : x
  2. Step 2: Convert to fraction form
    1,609,538/3,480,424 = 3,480,424/x
  3. Step 3: Cross multiply
    1,609,538x = 3,480,424 × 3,480,424
  4. Step 4: Simplify right side
    1,609,538x = 12,113,351,219,776
  5. Step 5: Solve for x
    x = 12,113,351,219,776/1,609,538
  6. Step 6: Final answer
    x = 7,525,980.26

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