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Finding the Third Proportional to 909,237,474 and 1,329,843,987

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Solution

The third proportional to 909,237,474 and 1,329,843,987 is: 1,945,019,953.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,237,474 : 1,329,843,987 = 1,329,843,987 : x
  2. Step 2: Convert to fraction form
    909,237,474/1,329,843,987 = 1,329,843,987/x
  3. Step 3: Cross multiply
    909,237,474x = 1,329,843,987 × 1,329,843,987
  4. Step 4: Simplify right side
    909,237,474x = 1,768,485,029,760,056,064
  5. Step 5: Solve for x
    x = 1,768,485,029,760,056,064/909,237,474
  6. Step 6: Final answer
    x = 1,945,019,953.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.