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Finding the Third Proportional to 1,452,672 and 2,400,768

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Solution

The third proportional to 1,452,672 and 2,400,768 is: 3,967,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452,672 : 2,400,768 = 2,400,768 : x
  2. Step 2: Convert to fraction form
    1,452,672/2,400,768 = 2,400,768/x
  3. Step 3: Cross multiply
    1,452,672x = 2,400,768 × 2,400,768
  4. Step 4: Simplify right side
    1,452,672x = 5,763,686,989,824
  5. Step 5: Solve for x
    x = 5,763,686,989,824/1,452,672
  6. Step 6: Final answer
    x = 3,967,645.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.