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Finding the Third Proportional to 2,214,740 and 4,736,590

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Solution

The third proportional to 2,214,740 and 4,736,590 is: 10,129,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,740 : 4,736,590 = 4,736,590 : x
  2. Step 2: Convert to fraction form
    2,214,740/4,736,590 = 4,736,590/x
  3. Step 3: Cross multiply
    2,214,740x = 4,736,590 × 4,736,590
  4. Step 4: Simplify right side
    2,214,740x = 22,435,284,828,100
  5. Step 5: Solve for x
    x = 22,435,284,828,100/2,214,740
  6. Step 6: Final answer
    x = 10,129,985.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.