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Finding the Third Proportional to 771,354 and 1,580,292

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Solution

The third proportional to 771,354 and 1,580,292 is: 3,237,583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,354 : 1,580,292 = 1,580,292 : x
  2. Step 2: Convert to fraction form
    771,354/1,580,292 = 1,580,292/x
  3. Step 3: Cross multiply
    771,354x = 1,580,292 × 1,580,292
  4. Step 4: Simplify right side
    771,354x = 2,497,322,805,264
  5. Step 5: Solve for x
    x = 2,497,322,805,264/771,354
  6. Step 6: Final answer
    x = 3,237,583.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.