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Finding the Third Proportional to 651,312 and 1,372,608

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Solution

The third proportional to 651,312 and 1,372,608 is: 2,892,703.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,312 : 1,372,608 = 1,372,608 : x
  2. Step 2: Convert to fraction form
    651,312/1,372,608 = 1,372,608/x
  3. Step 3: Cross multiply
    651,312x = 1,372,608 × 1,372,608
  4. Step 4: Simplify right side
    651,312x = 1,884,052,721,664
  5. Step 5: Solve for x
    x = 1,884,052,721,664/651,312
  6. Step 6: Final answer
    x = 2,892,703.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.