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Finding the Third Proportional to 1,353,695.06 and 2,030,831.44

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Solution

The third proportional to 1,353,695.06 and 2,030,831.44 is: 3,046,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,695.06 : 2,030,831.44 = 2,030,831.44 : x
  2. Step 2: Convert to fraction form
    1,353,695.06/2,030,831.44 = 2,030,831.44/x
  3. Step 3: Cross multiply
    1,353,695.06x = 2,030,831.44 × 2,030,831.44
  4. Step 4: Simplify right side
    1,353,695.06x = 4,124,276,327,538.32
  5. Step 5: Solve for x
    x = 4,124,276,327,538.32/1,353,695.06
  6. Step 6: Final answer
    x = 3,046,680.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.