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Finding the Third Proportional to 736,766 and 1,628,382

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Solution

The third proportional to 736,766 and 1,628,382 is: 3,599,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,766 : 1,628,382 = 1,628,382 : x
  2. Step 2: Convert to fraction form
    736,766/1,628,382 = 1,628,382/x
  3. Step 3: Cross multiply
    736,766x = 1,628,382 × 1,628,382
  4. Step 4: Simplify right side
    736,766x = 2,651,627,937,924
  5. Step 5: Solve for x
    x = 2,651,627,937,924/736,766
  6. Step 6: Final answer
    x = 3,599,009.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.