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Finding the Third Proportional to 468,460 and 1,041,728

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Solution

The third proportional to 468,460 and 1,041,728 is: 2,316,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,460 : 1,041,728 = 1,041,728 : x
  2. Step 2: Convert to fraction form
    468,460/1,041,728 = 1,041,728/x
  3. Step 3: Cross multiply
    468,460x = 1,041,728 × 1,041,728
  4. Step 4: Simplify right side
    468,460x = 1,085,197,225,984
  5. Step 5: Solve for x
    x = 1,085,197,225,984/468,460
  6. Step 6: Final answer
    x = 2,316,520.57

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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.