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Finding the Third Proportional to 611,906 and 1,296,752

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Solution

The third proportional to 611,906 and 1,296,752 is: 2,748,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,906 : 1,296,752 = 1,296,752 : x
  2. Step 2: Convert to fraction form
    611,906/1,296,752 = 1,296,752/x
  3. Step 3: Cross multiply
    611,906x = 1,296,752 × 1,296,752
  4. Step 4: Simplify right side
    611,906x = 1,681,565,749,504
  5. Step 5: Solve for x
    x = 1,681,565,749,504/611,906
  6. Step 6: Final answer
    x = 2,748,078.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.