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Finding the Third Proportional to 692,992,434.66 and 1,056,943,175.87

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Solution

The third proportional to 692,992,434.66 and 1,056,943,175.87 is: 1,612,036,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,992,434.66 : 1,056,943,175.87 = 1,056,943,175.87 : x
  2. Step 2: Convert to fraction form
    692,992,434.66/1,056,943,175.87 = 1,056,943,175.87/x
  3. Step 3: Cross multiply
    692,992,434.66x = 1,056,943,175.87 × 1,056,943,175.87
  4. Step 4: Simplify right side
    692,992,434.66x = 1,117,128,877,020,486,912
  5. Step 5: Solve for x
    x = 1,117,128,877,020,486,912/692,992,434.66
  6. Step 6: Final answer
    x = 1,612,036,179.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.