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Finding the Third Proportional to 620,841,826 and 1,351,908,451

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Solution

The third proportional to 620,841,826 and 1,351,908,451 is: 2,943,835,906.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,841,826 : 1,351,908,451 = 1,351,908,451 : x
  2. Step 2: Convert to fraction form
    620,841,826/1,351,908,451 = 1,351,908,451/x
  3. Step 3: Cross multiply
    620,841,826x = 1,351,908,451 × 1,351,908,451
  4. Step 4: Simplify right side
    620,841,826x = 1,827,656,459,885,219,328
  5. Step 5: Solve for x
    x = 1,827,656,459,885,219,328/620,841,826
  6. Step 6: Final answer
    x = 2,943,835,906.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.