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Finding the Third Proportional to 750,447 and 1,641,021

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Solution

The third proportional to 750,447 and 1,641,021 is: 3,588,461.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,447 : 1,641,021 = 1,641,021 : x
  2. Step 2: Convert to fraction form
    750,447/1,641,021 = 1,641,021/x
  3. Step 3: Cross multiply
    750,447x = 1,641,021 × 1,641,021
  4. Step 4: Simplify right side
    750,447x = 2,692,949,922,441
  5. Step 5: Solve for x
    x = 2,692,949,922,441/750,447
  6. Step 6: Final answer
    x = 3,588,461.17

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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.