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Finding the Third Proportional to 468,454 and 1,041,720

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Solution

The third proportional to 468,454 and 1,041,720 is: 2,316,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,454 : 1,041,720 = 1,041,720 : x
  2. Step 2: Convert to fraction form
    468,454/1,041,720 = 1,041,720/x
  3. Step 3: Cross multiply
    468,454x = 1,041,720 × 1,041,720
  4. Step 4: Simplify right side
    468,454x = 1,085,180,558,400
  5. Step 5: Solve for x
    x = 1,085,180,558,400/468,454
  6. Step 6: Final answer
    x = 2,316,514.66

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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.