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Finding the Third Proportional to 706,055 and 1,077,557

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Solution

The third proportional to 706,055 and 1,077,557 is: 1,644,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,055 : 1,077,557 = 1,077,557 : x
  2. Step 2: Convert to fraction form
    706,055/1,077,557 = 1,077,557/x
  3. Step 3: Cross multiply
    706,055x = 1,077,557 × 1,077,557
  4. Step 4: Simplify right side
    706,055x = 1,161,129,088,249
  5. Step 5: Solve for x
    x = 1,161,129,088,249/706,055
  6. Step 6: Final answer
    x = 1,644,530.65

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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.