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Finding the Third Proportional to 532,927 and 1,144,910

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Solution

The third proportional to 532,927 and 1,144,910 is: 2,459,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,927 : 1,144,910 = 1,144,910 : x
  2. Step 2: Convert to fraction form
    532,927/1,144,910 = 1,144,910/x
  3. Step 3: Cross multiply
    532,927x = 1,144,910 × 1,144,910
  4. Step 4: Simplify right side
    532,927x = 1,310,818,908,100
  5. Step 5: Solve for x
    x = 1,310,818,908,100/532,927
  6. Step 6: Final answer
    x = 2,459,659.41

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.