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Finding the Third Proportional to 790,438 and 1,734,506

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Solution

The third proportional to 790,438 and 1,734,506 is: 3,806,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,438 : 1,734,506 = 1,734,506 : x
  2. Step 2: Convert to fraction form
    790,438/1,734,506 = 1,734,506/x
  3. Step 3: Cross multiply
    790,438x = 1,734,506 × 1,734,506
  4. Step 4: Simplify right side
    790,438x = 3,008,511,064,036
  5. Step 5: Solve for x
    x = 3,008,511,064,036/790,438
  6. Step 6: Final answer
    x = 3,806,131.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.