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Finding the Third Proportional to 960,164 and 1,400,772

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Solution

The third proportional to 960,164 and 1,400,772 is: 2,043,569.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,164 : 1,400,772 = 1,400,772 : x
  2. Step 2: Convert to fraction form
    960,164/1,400,772 = 1,400,772/x
  3. Step 3: Cross multiply
    960,164x = 1,400,772 × 1,400,772
  4. Step 4: Simplify right side
    960,164x = 1,962,162,195,984
  5. Step 5: Solve for x
    x = 1,962,162,195,984/960,164
  6. Step 6: Final answer
    x = 2,043,569.84

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.