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Finding the Third Proportional to 666,749 and 1,437,748

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Solution

The third proportional to 666,749 and 1,437,748 is: 3,100,296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,749 : 1,437,748 = 1,437,748 : x
  2. Step 2: Convert to fraction form
    666,749/1,437,748 = 1,437,748/x
  3. Step 3: Cross multiply
    666,749x = 1,437,748 × 1,437,748
  4. Step 4: Simplify right side
    666,749x = 2,067,119,311,504
  5. Step 5: Solve for x
    x = 2,067,119,311,504/666,749
  6. Step 6: Final answer
    x = 3,100,296.08

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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.