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Finding the Third Proportional to 1,559,058 and 3,416,034

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Solution

The third proportional to 1,559,058 and 3,416,034 is: 7,484,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,058 : 3,416,034 = 3,416,034 : x
  2. Step 2: Convert to fraction form
    1,559,058/3,416,034 = 3,416,034/x
  3. Step 3: Cross multiply
    1,559,058x = 3,416,034 × 3,416,034
  4. Step 4: Simplify right side
    1,559,058x = 11,669,288,289,156
  5. Step 5: Solve for x
    x = 11,669,288,289,156/1,559,058
  6. Step 6: Final answer
    x = 7,484,832.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.