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Finding the Third Proportional to 421,754 and 909,940

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Solution

The third proportional to 421,754 and 909,940 is: 1,963,207.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,754 : 909,940 = 909,940 : x
  2. Step 2: Convert to fraction form
    421,754/909,940 = 909,940/x
  3. Step 3: Cross multiply
    421,754x = 909,940 × 909,940
  4. Step 4: Simplify right side
    421,754x = 827,990,803,600
  5. Step 5: Solve for x
    x = 827,990,803,600/421,754
  6. Step 6: Final answer
    x = 1,963,207.94

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