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Finding the Third Proportional to 583,821 and 1,254,945

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Solution

The third proportional to 583,821 and 1,254,945 is: 2,697,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,821 : 1,254,945 = 1,254,945 : x
  2. Step 2: Convert to fraction form
    583,821/1,254,945 = 1,254,945/x
  3. Step 3: Cross multiply
    583,821x = 1,254,945 × 1,254,945
  4. Step 4: Simplify right side
    583,821x = 1,574,886,953,025
  5. Step 5: Solve for x
    x = 1,574,886,953,025/583,821
  6. Step 6: Final answer
    x = 2,697,551.05

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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.