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Finding the Third Proportional to 460,332 and 1,027,800

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Solution

The third proportional to 460,332 and 1,027,800 is: 2,294,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,332 : 1,027,800 = 1,027,800 : x
  2. Step 2: Convert to fraction form
    460,332/1,027,800 = 1,027,800/x
  3. Step 3: Cross multiply
    460,332x = 1,027,800 × 1,027,800
  4. Step 4: Simplify right side
    460,332x = 1,056,372,840,000
  5. Step 5: Solve for x
    x = 1,056,372,840,000/460,332
  6. Step 6: Final answer
    x = 2,294,806.44

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.