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Finding the Third Proportional to 864,412 and 2,009,578

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Solution

The third proportional to 864,412 and 2,009,578 is: 4,671,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,412 : 2,009,578 = 2,009,578 : x
  2. Step 2: Convert to fraction form
    864,412/2,009,578 = 2,009,578/x
  3. Step 3: Cross multiply
    864,412x = 2,009,578 × 2,009,578
  4. Step 4: Simplify right side
    864,412x = 4,038,403,738,084
  5. Step 5: Solve for x
    x = 4,038,403,738,084/864,412
  6. Step 6: Final answer
    x = 4,671,850.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.