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Finding the Third Proportional to 1,230,541 and 1,862,812

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Solution

The third proportional to 1,230,541 and 1,862,812 is: 2,819,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230,541 : 1,862,812 = 1,862,812 : x
  2. Step 2: Convert to fraction form
    1,230,541/1,862,812 = 1,862,812/x
  3. Step 3: Cross multiply
    1,230,541x = 1,862,812 × 1,862,812
  4. Step 4: Simplify right side
    1,230,541x = 3,470,068,547,344
  5. Step 5: Solve for x
    x = 3,470,068,547,344/1,230,541
  6. Step 6: Final answer
    x = 2,819,953.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.