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Finding the Third Proportional to 2,710,830 and 5,701,221

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Solution

The third proportional to 2,710,830 and 5,701,221 is: 11,990,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710,830 : 5,701,221 = 5,701,221 : x
  2. Step 2: Convert to fraction form
    2,710,830/5,701,221 = 5,701,221/x
  3. Step 3: Cross multiply
    2,710,830x = 5,701,221 × 5,701,221
  4. Step 4: Simplify right side
    2,710,830x = 32,503,920,890,841
  5. Step 5: Solve for x
    x = 32,503,920,890,841/2,710,830
  6. Step 6: Final answer
    x = 11,990,394.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.