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Finding the Third Proportional to 407,970 and 872,074

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Solution

The third proportional to 407,970 and 872,074 is: 1,864,139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,970 : 872,074 = 872,074 : x
  2. Step 2: Convert to fraction form
    407,970/872,074 = 872,074/x
  3. Step 3: Cross multiply
    407,970x = 872,074 × 872,074
  4. Step 4: Simplify right side
    407,970x = 760,513,061,476
  5. Step 5: Solve for x
    x = 760,513,061,476/407,970
  6. Step 6: Final answer
    x = 1,864,139.67

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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.