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Finding the Third Proportional to 458,700 and 1,036,324

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Solution

The third proportional to 458,700 and 1,036,324 is: 2,341,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,700 : 1,036,324 = 1,036,324 : x
  2. Step 2: Convert to fraction form
    458,700/1,036,324 = 1,036,324/x
  3. Step 3: Cross multiply
    458,700x = 1,036,324 × 1,036,324
  4. Step 4: Simplify right side
    458,700x = 1,073,967,432,976
  5. Step 5: Solve for x
    x = 1,073,967,432,976/458,700
  6. Step 6: Final answer
    x = 2,341,328.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.