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Finding the Third Proportional to 2,570,535 and 5,645,619

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Solution

The third proportional to 2,570,535 and 5,645,619 is: 12,399,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570,535 : 5,645,619 = 5,645,619 : x
  2. Step 2: Convert to fraction form
    2,570,535/5,645,619 = 5,645,619/x
  3. Step 3: Cross multiply
    2,570,535x = 5,645,619 × 5,645,619
  4. Step 4: Simplify right side
    2,570,535x = 31,873,013,893,161
  5. Step 5: Solve for x
    x = 31,873,013,893,161/2,570,535
  6. Step 6: Final answer
    x = 12,399,369.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.