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Finding the Third Proportional to 460,953 and 1,005,960

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Solution

The third proportional to 460,953 and 1,005,960 is: 2,195,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,953 : 1,005,960 = 1,005,960 : x
  2. Step 2: Convert to fraction form
    460,953/1,005,960 = 1,005,960/x
  3. Step 3: Cross multiply
    460,953x = 1,005,960 × 1,005,960
  4. Step 4: Simplify right side
    460,953x = 1,011,955,521,600
  5. Step 5: Solve for x
    x = 1,011,955,521,600/460,953
  6. Step 6: Final answer
    x = 2,195,355.10

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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.