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Finding the Third Proportional to 473,823 and 1,023,516

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Solution

The third proportional to 473,823 and 1,023,516 is: 2,210,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,823 : 1,023,516 = 1,023,516 : x
  2. Step 2: Convert to fraction form
    473,823/1,023,516 = 1,023,516/x
  3. Step 3: Cross multiply
    473,823x = 1,023,516 × 1,023,516
  4. Step 4: Simplify right side
    473,823x = 1,047,585,002,256
  5. Step 5: Solve for x
    x = 1,047,585,002,256/473,823
  6. Step 6: Final answer
    x = 2,210,920.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.