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Finding the Third Proportional to 460,381 and 1,012,127

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Solution

The third proportional to 460,381 and 1,012,127 is: 2,225,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,381 : 1,012,127 = 1,012,127 : x
  2. Step 2: Convert to fraction form
    460,381/1,012,127 = 1,012,127/x
  3. Step 3: Cross multiply
    460,381x = 1,012,127 × 1,012,127
  4. Step 4: Simplify right side
    460,381x = 1,024,401,064,129
  5. Step 5: Solve for x
    x = 1,024,401,064,129/460,381
  6. Step 6: Final answer
    x = 2,225,115.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.