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Finding the Third Proportional to 812,256.19 and 1,262,806.88

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Solution

The third proportional to 812,256.19 and 1,262,806.88 is: 1,963,273.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,256.19 : 1,262,806.88 = 1,262,806.88 : x
  2. Step 2: Convert to fraction form
    812,256.19/1,262,806.88 = 1,262,806.88/x
  3. Step 3: Cross multiply
    812,256.19x = 1,262,806.88 × 1,262,806.88
  4. Step 4: Simplify right side
    812,256.19x = 1,594,681,203,547.27
  5. Step 5: Solve for x
    x = 1,594,681,203,547.27/812,256.19
  6. Step 6: Final answer
    x = 1,963,273.69

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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.