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Finding the Third Proportional to 1,148,256 and 1,689,156

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Solution

The third proportional to 1,148,256 and 1,689,156 is: 2,484,853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,256 : 1,689,156 = 1,689,156 : x
  2. Step 2: Convert to fraction form
    1,148,256/1,689,156 = 1,689,156/x
  3. Step 3: Cross multiply
    1,148,256x = 1,689,156 × 1,689,156
  4. Step 4: Simplify right side
    1,148,256x = 2,853,247,992,336
  5. Step 5: Solve for x
    x = 2,853,247,992,336/1,148,256
  6. Step 6: Final answer
    x = 2,484,853.55

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.