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Finding the Third Proportional to 3,686,464 and 5,271,648

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Solution

The third proportional to 3,686,464 and 5,271,648 is: 7,538,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,464 : 5,271,648 = 5,271,648 : x
  2. Step 2: Convert to fraction form
    3,686,464/5,271,648 = 5,271,648/x
  3. Step 3: Cross multiply
    3,686,464x = 5,271,648 × 5,271,648
  4. Step 4: Simplify right side
    3,686,464x = 27,790,272,635,904
  5. Step 5: Solve for x
    x = 27,790,272,635,904/3,686,464
  6. Step 6: Final answer
    x = 7,538,463.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.