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Finding the Third Proportional to 648,786,240 and 1,343,560,720

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Solution

The third proportional to 648,786,240 and 1,343,560,720 is: 2,782,357,727.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,786,240 : 1,343,560,720 = 1,343,560,720 : x
  2. Step 2: Convert to fraction form
    648,786,240/1,343,560,720 = 1,343,560,720/x
  3. Step 3: Cross multiply
    648,786,240x = 1,343,560,720 × 1,343,560,720
  4. Step 4: Simplify right side
    648,786,240x = 1,805,155,408,326,918,400
  5. Step 5: Solve for x
    x = 1,805,155,408,326,918,400/648,786,240
  6. Step 6: Final answer
    x = 2,782,357,727.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.