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Finding the Third Proportional to 575,172 and 1,233,612

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Solution

The third proportional to 575,172 and 1,233,612 is: 2,645,814.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,172 : 1,233,612 = 1,233,612 : x
  2. Step 2: Convert to fraction form
    575,172/1,233,612 = 1,233,612/x
  3. Step 3: Cross multiply
    575,172x = 1,233,612 × 1,233,612
  4. Step 4: Simplify right side
    575,172x = 1,521,798,566,544
  5. Step 5: Solve for x
    x = 1,521,798,566,544/575,172
  6. Step 6: Final answer
    x = 2,645,814.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.