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Finding the Third Proportional to 584,922 and 1,256,892

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Solution

The third proportional to 584,922 and 1,256,892 is: 2,700,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,922 : 1,256,892 = 1,256,892 : x
  2. Step 2: Convert to fraction form
    584,922/1,256,892 = 1,256,892/x
  3. Step 3: Cross multiply
    584,922x = 1,256,892 × 1,256,892
  4. Step 4: Simplify right side
    584,922x = 1,579,777,499,664
  5. Step 5: Solve for x
    x = 1,579,777,499,664/584,922
  6. Step 6: Final answer
    x = 2,700,834.47

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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.