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Finding the Third Proportional to 537,446 and 1,158,806

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Solution

The third proportional to 537,446 and 1,158,806 is: 2,498,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,446 : 1,158,806 = 1,158,806 : x
  2. Step 2: Convert to fraction form
    537,446/1,158,806 = 1,158,806/x
  3. Step 3: Cross multiply
    537,446x = 1,158,806 × 1,158,806
  4. Step 4: Simplify right side
    537,446x = 1,342,831,345,636
  5. Step 5: Solve for x
    x = 1,342,831,345,636/537,446
  6. Step 6: Final answer
    x = 2,498,541.89

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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.