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Finding the Third Proportional to 759,056 and 1,635,408

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Solution

The third proportional to 759,056 and 1,635,408 is: 3,523,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,056 : 1,635,408 = 1,635,408 : x
  2. Step 2: Convert to fraction form
    759,056/1,635,408 = 1,635,408/x
  3. Step 3: Cross multiply
    759,056x = 1,635,408 × 1,635,408
  4. Step 4: Simplify right side
    759,056x = 2,674,559,326,464
  5. Step 5: Solve for x
    x = 2,674,559,326,464/759,056
  6. Step 6: Final answer
    x = 3,523,533.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.