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Finding the Third Proportional to 466,724 and 1,017,916

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Solution

The third proportional to 466,724 and 1,017,916 is: 2,220,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,724 : 1,017,916 = 1,017,916 : x
  2. Step 2: Convert to fraction form
    466,724/1,017,916 = 1,017,916/x
  3. Step 3: Cross multiply
    466,724x = 1,017,916 × 1,017,916
  4. Step 4: Simplify right side
    466,724x = 1,036,152,983,056
  5. Step 5: Solve for x
    x = 1,036,152,983,056/466,724
  6. Step 6: Final answer
    x = 2,220,055.07

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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.