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Finding the Third Proportional to 459,716 and 974,724

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Solution

The third proportional to 459,716 and 974,724 is: 2,066,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,716 : 974,724 = 974,724 : x
  2. Step 2: Convert to fraction form
    459,716/974,724 = 974,724/x
  3. Step 3: Cross multiply
    459,716x = 974,724 × 974,724
  4. Step 4: Simplify right side
    459,716x = 950,086,876,176
  5. Step 5: Solve for x
    x = 950,086,876,176/459,716
  6. Step 6: Final answer
    x = 2,066,682.20

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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.