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Finding the Third Proportional to 758,133 and 1,649,127

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Solution

The third proportional to 758,133 and 1,649,127 is: 3,587,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,133 : 1,649,127 = 1,649,127 : x
  2. Step 2: Convert to fraction form
    758,133/1,649,127 = 1,649,127/x
  3. Step 3: Cross multiply
    758,133x = 1,649,127 × 1,649,127
  4. Step 4: Simplify right side
    758,133x = 2,719,619,862,129
  5. Step 5: Solve for x
    x = 2,719,619,862,129/758,133
  6. Step 6: Final answer
    x = 3,587,259.57

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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.