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Finding the Third Proportional to 459,718 and 974,722

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Solution

The third proportional to 459,718 and 974,722 is: 2,066,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,718 : 974,722 = 974,722 : x
  2. Step 2: Convert to fraction form
    459,718/974,722 = 974,722/x
  3. Step 3: Cross multiply
    459,718x = 974,722 × 974,722
  4. Step 4: Simplify right side
    459,718x = 950,082,977,284
  5. Step 5: Solve for x
    x = 950,082,977,284/459,718
  6. Step 6: Final answer
    x = 2,066,664.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.