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Finding the Third Proportional to 1,465,792.50 and 2,210,223

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Solution

The third proportional to 1,465,792.50 and 2,210,223 is: 3,332,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,792.50 : 2,210,223 = 2,210,223 : x
  2. Step 2: Convert to fraction form
    1,465,792.50/2,210,223 = 2,210,223/x
  3. Step 3: Cross multiply
    1,465,792.50x = 2,210,223 × 2,210,223
  4. Step 4: Simplify right side
    1,465,792.50x = 4,885,085,709,729
  5. Step 5: Solve for x
    x = 4,885,085,709,729/1,465,792.50
  6. Step 6: Final answer
    x = 3,332,726.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.