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Finding the Third Proportional to 2,306,718 and 5,389,534.13

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Solution

The third proportional to 2,306,718 and 5,389,534.13 is: 12,592,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306,718 : 5,389,534.13 = 5,389,534.13 : x
  2. Step 2: Convert to fraction form
    2,306,718/5,389,534.13 = 5,389,534.13/x
  3. Step 3: Cross multiply
    2,306,718x = 5,389,534.13 × 5,389,534.13
  4. Step 4: Simplify right side
    2,306,718x = 29,047,078,084,539.52
  5. Step 5: Solve for x
    x = 29,047,078,084,539.52/2,306,718
  6. Step 6: Final answer
    x = 12,592,383.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.