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Finding the Third Proportional to 424,968 and 927,210

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Solution

The third proportional to 424,968 and 927,210 is: 2,023,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,968 : 927,210 = 927,210 : x
  2. Step 2: Convert to fraction form
    424,968/927,210 = 927,210/x
  3. Step 3: Cross multiply
    424,968x = 927,210 × 927,210
  4. Step 4: Simplify right side
    424,968x = 859,718,384,100
  5. Step 5: Solve for x
    x = 859,718,384,100/424,968
  6. Step 6: Final answer
    x = 2,023,019.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.