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Finding the Third Proportional to 3,877,641 and 5,921,437.50

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Solution

The third proportional to 3,877,641 and 5,921,437.50 is: 9,042,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877,641 : 5,921,437.50 = 5,921,437.50 : x
  2. Step 2: Convert to fraction form
    3,877,641/5,921,437.50 = 5,921,437.50/x
  3. Step 3: Cross multiply
    3,877,641x = 5,921,437.50 × 5,921,437.50
  4. Step 4: Simplify right side
    3,877,641x = 35,063,422,066,406.25
  5. Step 5: Solve for x
    x = 35,063,422,066,406.25/3,877,641
  6. Step 6: Final answer
    x = 9,042,462.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.