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Finding the Third Proportional to 700,749 and 1,082,646

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Solution

The third proportional to 700,749 and 1,082,646 is: 1,672,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,749 : 1,082,646 = 1,082,646 : x
  2. Step 2: Convert to fraction form
    700,749/1,082,646 = 1,082,646/x
  3. Step 3: Cross multiply
    700,749x = 1,082,646 × 1,082,646
  4. Step 4: Simplify right side
    700,749x = 1,172,122,361,316
  5. Step 5: Solve for x
    x = 1,172,122,361,316/700,749
  6. Step 6: Final answer
    x = 1,672,670.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.