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Finding the Third Proportional to 623,943 and 1,004,805

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Solution

The third proportional to 623,943 and 1,004,805 is: 1,618,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,943 : 1,004,805 = 1,004,805 : x
  2. Step 2: Convert to fraction form
    623,943/1,004,805 = 1,004,805/x
  3. Step 3: Cross multiply
    623,943x = 1,004,805 × 1,004,805
  4. Step 4: Simplify right side
    623,943x = 1,009,633,088,025
  5. Step 5: Solve for x
    x = 1,009,633,088,025/623,943
  6. Step 6: Final answer
    x = 1,618,149.56

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.