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Finding the Third Proportional to 407,974 and 872,082

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Solution

The third proportional to 407,974 and 872,082 is: 1,864,155.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,974 : 872,082 = 872,082 : x
  2. Step 2: Convert to fraction form
    407,974/872,082 = 872,082/x
  3. Step 3: Cross multiply
    407,974x = 872,082 × 872,082
  4. Step 4: Simplify right side
    407,974x = 760,527,014,724
  5. Step 5: Solve for x
    x = 760,527,014,724/407,974
  6. Step 6: Final answer
    x = 1,864,155.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.