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Finding the Third Proportional to 706,057 and 1,077,560

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Solution

The third proportional to 706,057 and 1,077,560 is: 1,644,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,057 : 1,077,560 = 1,077,560 : x
  2. Step 2: Convert to fraction form
    706,057/1,077,560 = 1,077,560/x
  3. Step 3: Cross multiply
    706,057x = 1,077,560 × 1,077,560
  4. Step 4: Simplify right side
    706,057x = 1,161,135,553,600
  5. Step 5: Solve for x
    x = 1,161,135,553,600/706,057
  6. Step 6: Final answer
    x = 1,644,535.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.