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Finding the Third Proportional to 507,752 and 1,115,148

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Solution

The third proportional to 507,752 and 1,115,148 is: 2,449,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,752 : 1,115,148 = 1,115,148 : x
  2. Step 2: Convert to fraction form
    507,752/1,115,148 = 1,115,148/x
  3. Step 3: Cross multiply
    507,752x = 1,115,148 × 1,115,148
  4. Step 4: Simplify right side
    507,752x = 1,243,555,061,904
  5. Step 5: Solve for x
    x = 1,243,555,061,904/507,752
  6. Step 6: Final answer
    x = 2,449,138.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.