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Finding the Third Proportional to 459,429 and 973,410

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Solution

The third proportional to 459,429 and 973,410 is: 2,062,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,429 : 973,410 = 973,410 : x
  2. Step 2: Convert to fraction form
    459,429/973,410 = 973,410/x
  3. Step 3: Cross multiply
    459,429x = 973,410 × 973,410
  4. Step 4: Simplify right side
    459,429x = 947,527,028,100
  5. Step 5: Solve for x
    x = 947,527,028,100/459,429
  6. Step 6: Final answer
    x = 2,062,401.43

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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.