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Finding the Third Proportional to 1,314,720 and 1,878,768

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Solution

The third proportional to 1,314,720 and 1,878,768 is: 2,684,806.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,720 : 1,878,768 = 1,878,768 : x
  2. Step 2: Convert to fraction form
    1,314,720/1,878,768 = 1,878,768/x
  3. Step 3: Cross multiply
    1,314,720x = 1,878,768 × 1,878,768
  4. Step 4: Simplify right side
    1,314,720x = 3,529,769,197,824
  5. Step 5: Solve for x
    x = 3,529,769,197,824/1,314,720
  6. Step 6: Final answer
    x = 2,684,806.80

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.