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Finding the Third Proportional to 2,196,460 and 4,748,234

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Solution

The third proportional to 2,196,460 and 4,748,234 is: 10,264,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,196,460 : 4,748,234 = 4,748,234 : x
  2. Step 2: Convert to fraction form
    2,196,460/4,748,234 = 4,748,234/x
  3. Step 3: Cross multiply
    2,196,460x = 4,748,234 × 4,748,234
  4. Step 4: Simplify right side
    2,196,460x = 22,545,726,118,756
  5. Step 5: Solve for x
    x = 22,545,726,118,756/2,196,460
  6. Step 6: Final answer
    x = 10,264,573.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.