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Finding the Third Proportional to 1,029,788 and 2,153,685

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Solution

The third proportional to 1,029,788 and 2,153,685 is: 4,504,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029,788 : 2,153,685 = 2,153,685 : x
  2. Step 2: Convert to fraction form
    1,029,788/2,153,685 = 2,153,685/x
  3. Step 3: Cross multiply
    1,029,788x = 2,153,685 × 2,153,685
  4. Step 4: Simplify right side
    1,029,788x = 4,638,359,079,225
  5. Step 5: Solve for x
    x = 4,638,359,079,225/1,029,788
  6. Step 6: Final answer
    x = 4,504,188.32

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.