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Finding the Third Proportional to 749,574 and 1,638,954

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Solution

The third proportional to 749,574 and 1,638,954 is: 3,583,595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,574 : 1,638,954 = 1,638,954 : x
  2. Step 2: Convert to fraction form
    749,574/1,638,954 = 1,638,954/x
  3. Step 3: Cross multiply
    749,574x = 1,638,954 × 1,638,954
  4. Step 4: Simplify right side
    749,574x = 2,686,170,214,116
  5. Step 5: Solve for x
    x = 2,686,170,214,116/749,574
  6. Step 6: Final answer
    x = 3,583,595.77

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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.