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Finding the Third Proportional to 675,696.94 and 910,118.53

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Solution

The third proportional to 675,696.94 and 910,118.53 is: 1,225,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,696.94 : 910,118.53 = 910,118.53 : x
  2. Step 2: Convert to fraction form
    675,696.94/910,118.53 = 910,118.53/x
  3. Step 3: Cross multiply
    675,696.94x = 910,118.53 × 910,118.53
  4. Step 4: Simplify right side
    675,696.94x = 828,315,740,924.66
  5. Step 5: Solve for x
    x = 828,315,740,924.66/675,696.94
  6. Step 6: Final answer
    x = 1,225,868.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.