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Finding the Third Proportional to 468,471 and 1,041,738

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Solution

The third proportional to 468,471 and 1,041,738 is: 2,316,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,471 : 1,041,738 = 1,041,738 : x
  2. Step 2: Convert to fraction form
    468,471/1,041,738 = 1,041,738/x
  3. Step 3: Cross multiply
    468,471x = 1,041,738 × 1,041,738
  4. Step 4: Simplify right side
    468,471x = 1,085,218,060,644
  5. Step 5: Solve for x
    x = 1,085,218,060,644/468,471
  6. Step 6: Final answer
    x = 2,316,510.65

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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.