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Finding the Third Proportional to 706,289,400 and 1,649,685,894

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Solution

The third proportional to 706,289,400 and 1,649,685,894 is: 3,853,184,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,289,400 : 1,649,685,894 = 1,649,685,894 : x
  2. Step 2: Convert to fraction form
    706,289,400/1,649,685,894 = 1,649,685,894/x
  3. Step 3: Cross multiply
    706,289,400x = 1,649,685,894 × 1,649,685,894
  4. Step 4: Simplify right side
    706,289,400x = 2,721,463,548,862,579,200
  5. Step 5: Solve for x
    x = 2,721,463,548,862,579,200/706,289,400
  6. Step 6: Final answer
    x = 3,853,184,755.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.