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Finding the Third Proportional to 812,334 and 1,262,910

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Solution

The third proportional to 812,334 and 1,262,910 is: 1,963,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,334 : 1,262,910 = 1,262,910 : x
  2. Step 2: Convert to fraction form
    812,334/1,262,910 = 1,262,910/x
  3. Step 3: Cross multiply
    812,334x = 1,262,910 × 1,262,910
  4. Step 4: Simplify right side
    812,334x = 1,594,941,668,100
  5. Step 5: Solve for x
    x = 1,594,941,668,100/812,334
  6. Step 6: Final answer
    x = 1,963,406.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.