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Finding the Third Proportional to 1,402,920 and 3,024,756

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Solution

The third proportional to 1,402,920 and 3,024,756 is: 6,521,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,920 : 3,024,756 = 3,024,756 : x
  2. Step 2: Convert to fraction form
    1,402,920/3,024,756 = 3,024,756/x
  3. Step 3: Cross multiply
    1,402,920x = 3,024,756 × 3,024,756
  4. Step 4: Simplify right side
    1,402,920x = 9,149,148,859,536
  5. Step 5: Solve for x
    x = 9,149,148,859,536/1,402,920
  6. Step 6: Final answer
    x = 6,521,504.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.