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Finding the Third Proportional to 1,072,970 and 1,620,398

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Solution

The third proportional to 1,072,970 and 1,620,398 is: 2,447,123.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072,970 : 1,620,398 = 1,620,398 : x
  2. Step 2: Convert to fraction form
    1,072,970/1,620,398 = 1,620,398/x
  3. Step 3: Cross multiply
    1,072,970x = 1,620,398 × 1,620,398
  4. Step 4: Simplify right side
    1,072,970x = 2,625,689,678,404
  5. Step 5: Solve for x
    x = 2,625,689,678,404/1,072,970
  6. Step 6: Final answer
    x = 2,447,123.11

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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.