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Finding the Third Proportional to 460,959 and 1,005,972

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Solution

The third proportional to 460,959 and 1,005,972 is: 2,195,378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,959 : 1,005,972 = 1,005,972 : x
  2. Step 2: Convert to fraction form
    460,959/1,005,972 = 1,005,972/x
  3. Step 3: Cross multiply
    460,959x = 1,005,972 × 1,005,972
  4. Step 4: Simplify right side
    460,959x = 1,011,979,664,784
  5. Step 5: Solve for x
    x = 1,011,979,664,784/460,959
  6. Step 6: Final answer
    x = 2,195,378.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.