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Finding the Third Proportional to 671,328,004 and 1,036,805,766

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Solution

The third proportional to 671,328,004 and 1,036,805,766 is: 1,601,253,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,328,004 : 1,036,805,766 = 1,036,805,766 : x
  2. Step 2: Convert to fraction form
    671,328,004/1,036,805,766 = 1,036,805,766/x
  3. Step 3: Cross multiply
    671,328,004x = 1,036,805,766 × 1,036,805,766
  4. Step 4: Simplify right side
    671,328,004x = 1,074,966,196,410,846,720
  5. Step 5: Solve for x
    x = 1,074,966,196,410,846,720/671,328,004
  6. Step 6: Final answer
    x = 1,601,253,321.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.