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Finding the Third Proportional to 1,807,712 and 2,478,768

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Solution

The third proportional to 1,807,712 and 2,478,768 is: 3,398,932.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807,712 : 2,478,768 = 2,478,768 : x
  2. Step 2: Convert to fraction form
    1,807,712/2,478,768 = 2,478,768/x
  3. Step 3: Cross multiply
    1,807,712x = 2,478,768 × 2,478,768
  4. Step 4: Simplify right side
    1,807,712x = 6,144,290,797,824
  5. Step 5: Solve for x
    x = 6,144,290,797,824/1,807,712
  6. Step 6: Final answer
    x = 3,398,932.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.