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Finding the Third Proportional to 1,157,784 and 2,502,768

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Solution

The third proportional to 1,157,784 and 2,502,768 is: 5,410,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,784 : 2,502,768 = 2,502,768 : x
  2. Step 2: Convert to fraction form
    1,157,784/2,502,768 = 2,502,768/x
  3. Step 3: Cross multiply
    1,157,784x = 2,502,768 × 2,502,768
  4. Step 4: Simplify right side
    1,157,784x = 6,263,847,661,824
  5. Step 5: Solve for x
    x = 6,263,847,661,824/1,157,784
  6. Step 6: Final answer
    x = 5,410,204.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.