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Finding the Third Proportional to 1,447,640 and 2,129,356

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Solution

The third proportional to 1,447,640 and 2,129,356 is: 3,132,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447,640 : 2,129,356 = 2,129,356 : x
  2. Step 2: Convert to fraction form
    1,447,640/2,129,356 = 2,129,356/x
  3. Step 3: Cross multiply
    1,447,640x = 2,129,356 × 2,129,356
  4. Step 4: Simplify right side
    1,447,640x = 4,534,156,974,736
  5. Step 5: Solve for x
    x = 4,534,156,974,736/1,447,640
  6. Step 6: Final answer
    x = 3,132,102.58

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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.