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Finding the Third Proportional to 454,582 and 957,089

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Solution

The third proportional to 454,582 and 957,089 is: 2,015,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,582 : 957,089 = 957,089 : x
  2. Step 2: Convert to fraction form
    454,582/957,089 = 957,089/x
  3. Step 3: Cross multiply
    454,582x = 957,089 × 957,089
  4. Step 4: Simplify right side
    454,582x = 916,019,353,921
  5. Step 5: Solve for x
    x = 916,019,353,921/454,582
  6. Step 6: Final answer
    x = 2,015,080.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.