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Finding the Third Proportional to 692,945,730 and 941,395,797

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Solution

The third proportional to 692,945,730 and 941,395,797 is: 1,278,925,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,945,730 : 941,395,797 = 941,395,797 : x
  2. Step 2: Convert to fraction form
    692,945,730/941,395,797 = 941,395,797/x
  3. Step 3: Cross multiply
    692,945,730x = 941,395,797 × 941,395,797
  4. Step 4: Simplify right side
    692,945,730x = 886,226,046,609,265,152
  5. Step 5: Solve for x
    x = 886,226,046,609,265,152/692,945,730
  6. Step 6: Final answer
    x = 1,278,925,618.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.