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Finding the Third Proportional to 1,460,317.50 and 2,178,324

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Solution

The third proportional to 1,460,317.50 and 2,178,324 is: 3,249,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460,317.50 : 2,178,324 = 2,178,324 : x
  2. Step 2: Convert to fraction form
    1,460,317.50/2,178,324 = 2,178,324/x
  3. Step 3: Cross multiply
    1,460,317.50x = 2,178,324 × 2,178,324
  4. Step 4: Simplify right side
    1,460,317.50x = 4,745,095,448,976
  5. Step 5: Solve for x
    x = 4,745,095,448,976/1,460,317.50
  6. Step 6: Final answer
    x = 3,249,358.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.