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Finding the Third Proportional to 460,061.63 and 1,005,415.88

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Solution

The third proportional to 460,061.63 and 1,005,415.88 is: 2,197,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,061.63 : 1,005,415.88 = 1,005,415.88 : x
  2. Step 2: Convert to fraction form
    460,061.63/1,005,415.88 = 1,005,415.88/x
  3. Step 3: Cross multiply
    460,061.63x = 1,005,415.88 × 1,005,415.88
  4. Step 4: Simplify right side
    460,061.63x = 1,010,861,081,702.02
  5. Step 5: Solve for x
    x = 1,010,861,081,702.02/460,061.63
  6. Step 6: Final answer
    x = 2,197,229.73

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.