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Finding the Third Proportional to 758,253 and 1,650,407

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Solution

The third proportional to 758,253 and 1,650,407 is: 3,592,261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,253 : 1,650,407 = 1,650,407 : x
  2. Step 2: Convert to fraction form
    758,253/1,650,407 = 1,650,407/x
  3. Step 3: Cross multiply
    758,253x = 1,650,407 × 1,650,407
  4. Step 4: Simplify right side
    758,253x = 2,723,843,265,649
  5. Step 5: Solve for x
    x = 2,723,843,265,649/758,253
  6. Step 6: Final answer
    x = 3,592,261.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.