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Finding the Third Proportional to 749,028 and 1,617,766

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Solution

The third proportional to 749,028 and 1,617,766 is: 3,494,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,028 : 1,617,766 = 1,617,766 : x
  2. Step 2: Convert to fraction form
    749,028/1,617,766 = 1,617,766/x
  3. Step 3: Cross multiply
    749,028x = 1,617,766 × 1,617,766
  4. Step 4: Simplify right side
    749,028x = 2,617,166,830,756
  5. Step 5: Solve for x
    x = 2,617,166,830,756/749,028
  6. Step 6: Final answer
    x = 3,494,084.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.