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Finding the Third Proportional to 714,085 and 1,106,396

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Solution

The third proportional to 714,085 and 1,106,396 is: 1,714,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,085 : 1,106,396 = 1,106,396 : x
  2. Step 2: Convert to fraction form
    714,085/1,106,396 = 1,106,396/x
  3. Step 3: Cross multiply
    714,085x = 1,106,396 × 1,106,396
  4. Step 4: Simplify right side
    714,085x = 1,224,112,108,816
  5. Step 5: Solve for x
    x = 1,224,112,108,816/714,085
  6. Step 6: Final answer
    x = 1,714,238.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.