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Finding the Third Proportional to 459,410 and 974,404

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Solution

The third proportional to 459,410 and 974,404 is: 2,066,701.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,410 : 974,404 = 974,404 : x
  2. Step 2: Convert to fraction form
    459,410/974,404 = 974,404/x
  3. Step 3: Cross multiply
    459,410x = 974,404 × 974,404
  4. Step 4: Simplify right side
    459,410x = 949,463,155,216
  5. Step 5: Solve for x
    x = 949,463,155,216/459,410
  6. Step 6: Final answer
    x = 2,066,701.11

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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.