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Finding the Third Proportional to 2,860,202 and 4,202,751

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Solution

The third proportional to 2,860,202 and 4,202,751 is: 6,175,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860,202 : 4,202,751 = 4,202,751 : x
  2. Step 2: Convert to fraction form
    2,860,202/4,202,751 = 4,202,751/x
  3. Step 3: Cross multiply
    2,860,202x = 4,202,751 × 4,202,751
  4. Step 4: Simplify right side
    2,860,202x = 17,663,115,968,001
  5. Step 5: Solve for x
    x = 17,663,115,968,001/2,860,202
  6. Step 6: Final answer
    x = 6,175,478.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.