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Finding the Third Proportional to 459,434 and 974,532

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Solution

The third proportional to 459,434 and 974,532 is: 2,067,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,434 : 974,532 = 974,532 : x
  2. Step 2: Convert to fraction form
    459,434/974,532 = 974,532/x
  3. Step 3: Cross multiply
    459,434x = 974,532 × 974,532
  4. Step 4: Simplify right side
    459,434x = 949,712,619,024
  5. Step 5: Solve for x
    x = 949,712,619,024/459,434
  6. Step 6: Final answer
    x = 2,067,136.13

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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.