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Finding the Third Proportional to 746,716 and 1,638,580

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Solution

The third proportional to 746,716 and 1,638,580 is: 3,595,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,716 : 1,638,580 = 1,638,580 : x
  2. Step 2: Convert to fraction form
    746,716/1,638,580 = 1,638,580/x
  3. Step 3: Cross multiply
    746,716x = 1,638,580 × 1,638,580
  4. Step 4: Simplify right side
    746,716x = 2,684,944,416,400
  5. Step 5: Solve for x
    x = 2,684,944,416,400/746,716
  6. Step 6: Final answer
    x = 3,595,670.13

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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.