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Finding the Third Proportional to 459,412 and 974,408

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Solution

The third proportional to 459,412 and 974,408 is: 2,066,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,412 : 974,408 = 974,408 : x
  2. Step 2: Convert to fraction form
    459,412/974,408 = 974,408/x
  3. Step 3: Cross multiply
    459,412x = 974,408 × 974,408
  4. Step 4: Simplify right side
    459,412x = 949,470,950,464
  5. Step 5: Solve for x
    x = 949,470,950,464/459,412
  6. Step 6: Final answer
    x = 2,066,709.08

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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.