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Finding the Third Proportional to 777,712 and 1,199,688

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Solution

The third proportional to 777,712 and 1,199,688 is: 1,850,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,712 : 1,199,688 = 1,199,688 : x
  2. Step 2: Convert to fraction form
    777,712/1,199,688 = 1,199,688/x
  3. Step 3: Cross multiply
    777,712x = 1,199,688 × 1,199,688
  4. Step 4: Simplify right side
    777,712x = 1,439,251,297,344
  5. Step 5: Solve for x
    x = 1,439,251,297,344/777,712
  6. Step 6: Final answer
    x = 1,850,622.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.