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Finding the Third Proportional to 583,122 and 1,262,964

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Solution

The third proportional to 583,122 and 1,262,964 is: 2,735,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,122 : 1,262,964 = 1,262,964 : x
  2. Step 2: Convert to fraction form
    583,122/1,262,964 = 1,262,964/x
  3. Step 3: Cross multiply
    583,122x = 1,262,964 × 1,262,964
  4. Step 4: Simplify right side
    583,122x = 1,595,078,065,296
  5. Step 5: Solve for x
    x = 1,595,078,065,296/583,122
  6. Step 6: Final answer
    x = 2,735,410.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.