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Finding the Third Proportional to 922,869.75 and 1,329,429.94

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Solution

The third proportional to 922,869.75 and 1,329,429.94 is: 1,915,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,869.75 : 1,329,429.94 = 1,329,429.94 : x
  2. Step 2: Convert to fraction form
    922,869.75/1,329,429.94 = 1,329,429.94/x
  3. Step 3: Cross multiply
    922,869.75x = 1,329,429.94 × 1,329,429.94
  4. Step 4: Simplify right side
    922,869.75x = 1,767,383,958,721.25
  5. Step 5: Solve for x
    x = 1,767,383,958,721.25/922,869.75
  6. Step 6: Final answer
    x = 1,915,095.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.