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Finding the Third Proportional to 591,058 and 1,224,158

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Solution

The third proportional to 591,058 and 1,224,158 is: 2,535,390.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,058 : 1,224,158 = 1,224,158 : x
  2. Step 2: Convert to fraction form
    591,058/1,224,158 = 1,224,158/x
  3. Step 3: Cross multiply
    591,058x = 1,224,158 × 1,224,158
  4. Step 4: Simplify right side
    591,058x = 1,498,562,808,964
  5. Step 5: Solve for x
    x = 1,498,562,808,964/591,058
  6. Step 6: Final answer
    x = 2,535,390.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.