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Finding the Third Proportional to 772,085 and 1,113,827

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Solution

The third proportional to 772,085 and 1,113,827 is: 1,606,831.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,085 : 1,113,827 = 1,113,827 : x
  2. Step 2: Convert to fraction form
    772,085/1,113,827 = 1,113,827/x
  3. Step 3: Cross multiply
    772,085x = 1,113,827 × 1,113,827
  4. Step 4: Simplify right side
    772,085x = 1,240,610,585,929
  5. Step 5: Solve for x
    x = 1,240,610,585,929/772,085
  6. Step 6: Final answer
    x = 1,606,831.61

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.