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Finding the Third Proportional to 834,972 and 1,819,920

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Solution

The third proportional to 834,972 and 1,819,920 is: 3,966,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,972 : 1,819,920 = 1,819,920 : x
  2. Step 2: Convert to fraction form
    834,972/1,819,920 = 1,819,920/x
  3. Step 3: Cross multiply
    834,972x = 1,819,920 × 1,819,920
  4. Step 4: Simplify right side
    834,972x = 3,312,108,806,400
  5. Step 5: Solve for x
    x = 3,312,108,806,400/834,972
  6. Step 6: Final answer
    x = 3,966,730.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.