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Finding the Third Proportional to 683,210 and 973,247

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Solution

The third proportional to 683,210 and 973,247 is: 1,386,410.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,210 : 973,247 = 973,247 : x
  2. Step 2: Convert to fraction form
    683,210/973,247 = 973,247/x
  3. Step 3: Cross multiply
    683,210x = 973,247 × 973,247
  4. Step 4: Simplify right side
    683,210x = 947,209,723,009
  5. Step 5: Solve for x
    x = 947,209,723,009/683,210
  6. Step 6: Final answer
    x = 1,386,410.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.