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Finding the Third Proportional to 1,096,148 and 1,721,928

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Solution

The third proportional to 1,096,148 and 1,721,928 is: 2,704,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,148 : 1,721,928 = 1,721,928 : x
  2. Step 2: Convert to fraction form
    1,096,148/1,721,928 = 1,721,928/x
  3. Step 3: Cross multiply
    1,096,148x = 1,721,928 × 1,721,928
  4. Step 4: Simplify right side
    1,096,148x = 2,965,036,037,184
  5. Step 5: Solve for x
    x = 2,965,036,037,184/1,096,148
  6. Step 6: Final answer
    x = 2,704,959.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.