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Finding the Third Proportional to 676,749,170 and 1,019,604,267

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Solution

The third proportional to 676,749,170 and 1,019,604,267 is: 1,536,156,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,749,170 : 1,019,604,267 = 1,019,604,267 : x
  2. Step 2: Convert to fraction form
    676,749,170/1,019,604,267 = 1,019,604,267/x
  3. Step 3: Cross multiply
    676,749,170x = 1,019,604,267 × 1,019,604,267
  4. Step 4: Simplify right side
    676,749,170x = 1,039,592,861,284,607,232
  5. Step 5: Solve for x
    x = 1,039,592,861,284,607,232/676,749,170
  6. Step 6: Final answer
    x = 1,536,156,832.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.