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Finding the Third Proportional to 910,700 and 1,463,250

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Solution

The third proportional to 910,700 and 1,463,250 is: 2,351,049.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,700 : 1,463,250 = 1,463,250 : x
  2. Step 2: Convert to fraction form
    910,700/1,463,250 = 1,463,250/x
  3. Step 3: Cross multiply
    910,700x = 1,463,250 × 1,463,250
  4. Step 4: Simplify right side
    910,700x = 2,141,100,562,500
  5. Step 5: Solve for x
    x = 2,141,100,562,500/910,700
  6. Step 6: Final answer
    x = 2,351,049.26

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.