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Finding the Third Proportional to 758,016 and 1,649,664

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Solution

The third proportional to 758,016 and 1,649,664 is: 3,590,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,016 : 1,649,664 = 1,649,664 : x
  2. Step 2: Convert to fraction form
    758,016/1,649,664 = 1,649,664/x
  3. Step 3: Cross multiply
    758,016x = 1,649,664 × 1,649,664
  4. Step 4: Simplify right side
    758,016x = 2,721,391,312,896
  5. Step 5: Solve for x
    x = 2,721,391,312,896/758,016
  6. Step 6: Final answer
    x = 3,590,150.22

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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.