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Finding the Third Proportional to 1,083,022,488 and 1,674,214,692

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Solution

The third proportional to 1,083,022,488 and 1,674,214,692 is: 2,588,122,468.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083,022,488 : 1,674,214,692 = 1,674,214,692 : x
  2. Step 2: Convert to fraction form
    1,083,022,488/1,674,214,692 = 1,674,214,692/x
  3. Step 3: Cross multiply
    1,083,022,488x = 1,674,214,692 × 1,674,214,692
  4. Step 4: Simplify right side
    1,083,022,488x = 2,802,994,834,908,655,104
  5. Step 5: Solve for x
    x = 2,802,994,834,908,655,104/1,083,022,488
  6. Step 6: Final answer
    x = 2,588,122,468.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.