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Finding the Third Proportional to 509,326,860 and 1,091,261,832

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Solution

The third proportional to 509,326,860 and 1,091,261,832 is: 2,338,090,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326,860 : 1,091,261,832 = 1,091,261,832 : x
  2. Step 2: Convert to fraction form
    509,326,860/1,091,261,832 = 1,091,261,832/x
  3. Step 3: Cross multiply
    509,326,860x = 1,091,261,832 × 1,091,261,832
  4. Step 4: Simplify right side
    509,326,860x = 1,190,852,385,979,996,160
  5. Step 5: Solve for x
    x = 1,190,852,385,979,996,160/509,326,860
  6. Step 6: Final answer
    x = 2,338,090,683.02

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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.