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Finding the Third Proportional to 532,944 and 1,141,887

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Solution

The third proportional to 532,944 and 1,141,887 is: 2,446,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,944 : 1,141,887 = 1,141,887 : x
  2. Step 2: Convert to fraction form
    532,944/1,141,887 = 1,141,887/x
  3. Step 3: Cross multiply
    532,944x = 1,141,887 × 1,141,887
  4. Step 4: Simplify right side
    532,944x = 1,303,905,920,769
  5. Step 5: Solve for x
    x = 1,303,905,920,769/532,944
  6. Step 6: Final answer
    x = 2,446,609.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.