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Finding the Third Proportional to 975,967 and 2,114,852

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Solution

The third proportional to 975,967 and 2,114,852 is: 4,582,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,967 : 2,114,852 = 2,114,852 : x
  2. Step 2: Convert to fraction form
    975,967/2,114,852 = 2,114,852/x
  3. Step 3: Cross multiply
    975,967x = 2,114,852 × 2,114,852
  4. Step 4: Simplify right side
    975,967x = 4,472,598,981,904
  5. Step 5: Solve for x
    x = 4,472,598,981,904/975,967
  6. Step 6: Final answer
    x = 4,582,735.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.