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Finding the Third Proportional to 471,348 and 1,024,664

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Solution

The third proportional to 471,348 and 1,024,664 is: 2,227,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,348 : 1,024,664 = 1,024,664 : x
  2. Step 2: Convert to fraction form
    471,348/1,024,664 = 1,024,664/x
  3. Step 3: Cross multiply
    471,348x = 1,024,664 × 1,024,664
  4. Step 4: Simplify right side
    471,348x = 1,049,936,312,896
  5. Step 5: Solve for x
    x = 1,049,936,312,896/471,348
  6. Step 6: Final answer
    x = 2,227,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.