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Finding the Third Proportional to 1,471,658.63 and 3,054,034.13

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Solution

The third proportional to 1,471,658.63 and 3,054,034.13 is: 6,337,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,658.63 : 3,054,034.13 = 3,054,034.13 : x
  2. Step 2: Convert to fraction form
    1,471,658.63/3,054,034.13 = 3,054,034.13/x
  3. Step 3: Cross multiply
    1,471,658.63x = 3,054,034.13 × 3,054,034.13
  4. Step 4: Simplify right side
    1,471,658.63x = 9,327,124,436,664.52
  5. Step 5: Solve for x
    x = 9,327,124,436,664.52/1,471,658.63
  6. Step 6: Final answer
    x = 6,337,831.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.