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Finding the Third Proportional to 468,516 and 1,030,328

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Solution

The third proportional to 468,516 and 1,030,328 is: 2,265,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,516 : 1,030,328 = 1,030,328 : x
  2. Step 2: Convert to fraction form
    468,516/1,030,328 = 1,030,328/x
  3. Step 3: Cross multiply
    468,516x = 1,030,328 × 1,030,328
  4. Step 4: Simplify right side
    468,516x = 1,061,575,787,584
  5. Step 5: Solve for x
    x = 1,061,575,787,584/468,516
  6. Step 6: Final answer
    x = 2,265,826.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.