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Finding the Third Proportional to 3,219,804 and 4,357,314

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Solution

The third proportional to 3,219,804 and 4,357,314 is: 5,896,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219,804 : 4,357,314 = 4,357,314 : x
  2. Step 2: Convert to fraction form
    3,219,804/4,357,314 = 4,357,314/x
  3. Step 3: Cross multiply
    3,219,804x = 4,357,314 × 4,357,314
  4. Step 4: Simplify right side
    3,219,804x = 18,986,185,294,596
  5. Step 5: Solve for x
    x = 18,986,185,294,596/3,219,804
  6. Step 6: Final answer
    x = 5,896,689.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.