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Finding the Third Proportional to 1,681,472 and 3,689,968

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Solution

The third proportional to 1,681,472 and 3,689,968 is: 8,097,585.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,472 : 3,689,968 = 3,689,968 : x
  2. Step 2: Convert to fraction form
    1,681,472/3,689,968 = 3,689,968/x
  3. Step 3: Cross multiply
    1,681,472x = 3,689,968 × 3,689,968
  4. Step 4: Simplify right side
    1,681,472x = 13,615,863,841,024
  5. Step 5: Solve for x
    x = 13,615,863,841,024/1,681,472
  6. Step 6: Final answer
    x = 8,097,585.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.