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Finding the Third Proportional to 2,335,742 and 5,020,678

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Solution

The third proportional to 2,335,742 and 5,020,678 is: 10,791,948.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335,742 : 5,020,678 = 5,020,678 : x
  2. Step 2: Convert to fraction form
    2,335,742/5,020,678 = 5,020,678/x
  3. Step 3: Cross multiply
    2,335,742x = 5,020,678 × 5,020,678
  4. Step 4: Simplify right side
    2,335,742x = 25,207,207,579,684
  5. Step 5: Solve for x
    x = 25,207,207,579,684/2,335,742
  6. Step 6: Final answer
    x = 10,791,948.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.