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Finding the Third Proportional to 459,428 and 974,520

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Solution

The third proportional to 459,428 and 974,520 is: 2,067,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,428 : 974,520 = 974,520 : x
  2. Step 2: Convert to fraction form
    459,428/974,520 = 974,520/x
  3. Step 3: Cross multiply
    459,428x = 974,520 × 974,520
  4. Step 4: Simplify right side
    459,428x = 949,689,230,400
  5. Step 5: Solve for x
    x = 949,689,230,400/459,428
  6. Step 6: Final answer
    x = 2,067,112.21

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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.