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Finding the Third Proportional to 714,100 and 1,106,422

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Solution

The third proportional to 714,100 and 1,106,422 is: 1,714,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,100 : 1,106,422 = 1,106,422 : x
  2. Step 2: Convert to fraction form
    714,100/1,106,422 = 1,106,422/x
  3. Step 3: Cross multiply
    714,100x = 1,106,422 × 1,106,422
  4. Step 4: Simplify right side
    714,100x = 1,224,169,642,084
  5. Step 5: Solve for x
    x = 1,224,169,642,084/714,100
  6. Step 6: Final answer
    x = 1,714,283.21

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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.