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Finding the Third Proportional to 454,847,745 and 698,701,773

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Solution

The third proportional to 454,847,745 and 698,701,773 is: 1,073,291,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,847,745 : 698,701,773 = 698,701,773 : x
  2. Step 2: Convert to fraction form
    454,847,745/698,701,773 = 698,701,773/x
  3. Step 3: Cross multiply
    454,847,745x = 698,701,773 × 698,701,773
  4. Step 4: Simplify right side
    454,847,745x = 488,184,167,593,343,552
  5. Step 5: Solve for x
    x = 488,184,167,593,343,552/454,847,745
  6. Step 6: Final answer
    x = 1,073,291,388.07

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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.