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Finding the Third Proportional to 641,119,208 and 1,016,007,922

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Solution

The third proportional to 641,119,208 and 1,016,007,922 is: 1,610,109,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,119,208 : 1,016,007,922 = 1,016,007,922 : x
  2. Step 2: Convert to fraction form
    641,119,208/1,016,007,922 = 1,016,007,922/x
  3. Step 3: Cross multiply
    641,119,208x = 1,016,007,922 × 1,016,007,922
  4. Step 4: Simplify right side
    641,119,208x = 1,032,272,097,566,758,144
  5. Step 5: Solve for x
    x = 1,032,272,097,566,758,144/641,119,208
  6. Step 6: Final answer
    x = 1,610,109,453.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.