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Finding the Third Proportional to 645,168 and 1,400,768

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Solution

The third proportional to 645,168 and 1,400,768 is: 3,041,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,168 : 1,400,768 = 1,400,768 : x
  2. Step 2: Convert to fraction form
    645,168/1,400,768 = 1,400,768/x
  3. Step 3: Cross multiply
    645,168x = 1,400,768 × 1,400,768
  4. Step 4: Simplify right side
    645,168x = 1,962,150,989,824
  5. Step 5: Solve for x
    x = 1,962,150,989,824/645,168
  6. Step 6: Final answer
    x = 3,041,302.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.