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Finding the Third Proportional to 534,478,989 and 1,117,826,736

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Solution

The third proportional to 534,478,989 and 1,117,826,736 is: 2,337,859,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,478,989 : 1,117,826,736 = 1,117,826,736 : x
  2. Step 2: Convert to fraction form
    534,478,989/1,117,826,736 = 1,117,826,736/x
  3. Step 3: Cross multiply
    534,478,989x = 1,117,826,736 × 1,117,826,736
  4. Step 4: Simplify right side
    534,478,989x = 1,249,536,611,716,413,696
  5. Step 5: Solve for x
    x = 1,249,536,611,716,413,696/534,478,989
  6. Step 6: Final answer
    x = 2,337,859,181.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.