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Finding the Third Proportional to 2,860,413 and 4,241,142

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Solution

The third proportional to 2,860,413 and 4,241,142 is: 6,288,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860,413 : 4,241,142 = 4,241,142 : x
  2. Step 2: Convert to fraction form
    2,860,413/4,241,142 = 4,241,142/x
  3. Step 3: Cross multiply
    2,860,413x = 4,241,142 × 4,241,142
  4. Step 4: Simplify right side
    2,860,413x = 17,987,285,464,164
  5. Step 5: Solve for x
    x = 17,987,285,464,164/2,860,413
  6. Step 6: Final answer
    x = 6,288,352.58

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.