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Finding the Third Proportional to 724,146 and 1,012,881

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Solution

The third proportional to 724,146 and 1,012,881 is: 1,416,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,146 : 1,012,881 = 1,012,881 : x
  2. Step 2: Convert to fraction form
    724,146/1,012,881 = 1,012,881/x
  3. Step 3: Cross multiply
    724,146x = 1,012,881 × 1,012,881
  4. Step 4: Simplify right side
    724,146x = 1,025,927,920,161
  5. Step 5: Solve for x
    x = 1,025,927,920,161/724,146
  6. Step 6: Final answer
    x = 1,416,741.82

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.