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Finding the Third Proportional to 750,423 and 1,640,974

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Solution

The third proportional to 750,423 and 1,640,974 is: 3,588,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,423 : 1,640,974 = 1,640,974 : x
  2. Step 2: Convert to fraction form
    750,423/1,640,974 = 1,640,974/x
  3. Step 3: Cross multiply
    750,423x = 1,640,974 × 1,640,974
  4. Step 4: Simplify right side
    750,423x = 2,692,795,668,676
  5. Step 5: Solve for x
    x = 2,692,795,668,676/750,423
  6. Step 6: Final answer
    x = 3,588,370.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.