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Finding the Third Proportional to 509,326,188 and 1,091,260,488

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Solution

The third proportional to 509,326,188 and 1,091,260,488 is: 2,338,088,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,326,188 : 1,091,260,488 = 1,091,260,488 : x
  2. Step 2: Convert to fraction form
    509,326,188/1,091,260,488 = 1,091,260,488/x
  3. Step 3: Cross multiply
    509,326,188x = 1,091,260,488 × 1,091,260,488
  4. Step 4: Simplify right side
    509,326,188x = 1,190,849,452,669,998,080
  5. Step 5: Solve for x
    x = 1,190,849,452,669,998,080/509,326,188
  6. Step 6: Final answer
    x = 2,338,088,008.68

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