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Finding the Third Proportional to 468,450 and 1,041,712

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Solution

The third proportional to 468,450 and 1,041,712 is: 2,316,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,450 : 1,041,712 = 1,041,712 : x
  2. Step 2: Convert to fraction form
    468,450/1,041,712 = 1,041,712/x
  3. Step 3: Cross multiply
    468,450x = 1,041,712 × 1,041,712
  4. Step 4: Simplify right side
    468,450x = 1,085,163,890,944
  5. Step 5: Solve for x
    x = 1,085,163,890,944/468,450
  6. Step 6: Final answer
    x = 2,316,498.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.