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Finding the Third Proportional to 420,603,029 and 920,361,246

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Solution

The third proportional to 420,603,029 and 920,361,246 is: 2,013,929,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,603,029 : 920,361,246 = 920,361,246 : x
  2. Step 2: Convert to fraction form
    420,603,029/920,361,246 = 920,361,246/x
  3. Step 3: Cross multiply
    420,603,029x = 920,361,246 × 920,361,246
  4. Step 4: Simplify right side
    420,603,029x = 847,064,823,138,672,512
  5. Step 5: Solve for x
    x = 847,064,823,138,672,512/420,603,029
  6. Step 6: Final answer
    x = 2,013,929,441.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.