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Finding the Third Proportional to 509,326,731 and 1,091,261,592

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Solution

The third proportional to 509,326,731 and 1,091,261,592 is: 2,338,090,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326,731 : 1,091,261,592 = 1,091,261,592 : x
  2. Step 2: Convert to fraction form
    509,326,731/1,091,261,592 = 1,091,261,592/x
  3. Step 3: Cross multiply
    509,326,731x = 1,091,261,592 × 1,091,261,592
  4. Step 4: Simplify right side
    509,326,731x = 1,190,851,862,174,374,400
  5. Step 5: Solve for x
    x = 1,190,851,862,174,374,400/509,326,731
  6. Step 6: Final answer
    x = 2,338,090,246.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.