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Finding the Third Proportional to 444,656 and 973,640

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Solution

The third proportional to 444,656 and 973,640 is: 2,131,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,656 : 973,640 = 973,640 : x
  2. Step 2: Convert to fraction form
    444,656/973,640 = 973,640/x
  3. Step 3: Cross multiply
    444,656x = 973,640 × 973,640
  4. Step 4: Simplify right side
    444,656x = 947,974,849,600
  5. Step 5: Solve for x
    x = 947,974,849,600/444,656
  6. Step 6: Final answer
    x = 2,131,928.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.