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Finding the Third Proportional to 666,764 and 1,440,148

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Solution

The third proportional to 666,764 and 1,440,148 is: 3,110,585.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,764 : 1,440,148 = 1,440,148 : x
  2. Step 2: Convert to fraction form
    666,764/1,440,148 = 1,440,148/x
  3. Step 3: Cross multiply
    666,764x = 1,440,148 × 1,440,148
  4. Step 4: Simplify right side
    666,764x = 2,074,026,261,904
  5. Step 5: Solve for x
    x = 2,074,026,261,904/666,764
  6. Step 6: Final answer
    x = 3,110,585.25

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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.