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Finding the Third Proportional to 454,847,744.25 and 698,701,771.13

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Solution

The third proportional to 454,847,744.25 and 698,701,771.13 is: 1,073,291,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,847,744.25 : 698,701,771.13 = 698,701,771.13 : x
  2. Step 2: Convert to fraction form
    454,847,744.25/698,701,771.13 = 698,701,771.13/x
  3. Step 3: Cross multiply
    454,847,744.25x = 698,701,771.13 × 698,701,771.13
  4. Step 4: Simplify right side
    454,847,744.25x = 488,184,164,973,211,904
  5. Step 5: Solve for x
    x = 488,184,164,973,211,904/454,847,744.25
  6. Step 6: Final answer
    x = 1,073,291,384.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.