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Finding the Third Proportional to 539,364 and 1,182,408

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Solution

The third proportional to 539,364 and 1,182,408 is: 2,592,106.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,364 : 1,182,408 = 1,182,408 : x
  2. Step 2: Convert to fraction form
    539,364/1,182,408 = 1,182,408/x
  3. Step 3: Cross multiply
    539,364x = 1,182,408 × 1,182,408
  4. Step 4: Simplify right side
    539,364x = 1,398,088,678,464
  5. Step 5: Solve for x
    x = 1,398,088,678,464/539,364
  6. Step 6: Final answer
    x = 2,592,106.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.