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Finding the Third Proportional to 2,311,575.47 and 3,681,415.83

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Solution

The third proportional to 2,311,575.47 and 3,681,415.83 is: 5,863,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311,575.47 : 3,681,415.83 = 3,681,415.83 : x
  2. Step 2: Convert to fraction form
    2,311,575.47/3,681,415.83 = 3,681,415.83/x
  3. Step 3: Cross multiply
    2,311,575.47x = 3,681,415.83 × 3,681,415.83
  4. Step 4: Simplify right side
    2,311,575.47x = 13,552,822,499,569.28
  5. Step 5: Solve for x
    x = 13,552,822,499,569.28/2,311,575.47
  6. Step 6: Final answer
    x = 5,863,024.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.