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Finding the Third Proportional to 2,803,742 and 4,200,931

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Solution

The third proportional to 2,803,742 and 4,200,931 is: 6,294,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,742 : 4,200,931 = 4,200,931 : x
  2. Step 2: Convert to fraction form
    2,803,742/4,200,931 = 4,200,931/x
  3. Step 3: Cross multiply
    2,803,742x = 4,200,931 × 4,200,931
  4. Step 4: Simplify right side
    2,803,742x = 17,647,821,266,761
  5. Step 5: Solve for x
    x = 17,647,821,266,761/2,803,742
  6. Step 6: Final answer
    x = 6,294,381.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.