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Finding the Third Proportional to 2,234,488.50 and 4,737,114

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Solution

The third proportional to 2,234,488.50 and 4,737,114 is: 10,042,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,488.50 : 4,737,114 = 4,737,114 : x
  2. Step 2: Convert to fraction form
    2,234,488.50/4,737,114 = 4,737,114/x
  3. Step 3: Cross multiply
    2,234,488.50x = 4,737,114 × 4,737,114
  4. Step 4: Simplify right side
    2,234,488.50x = 22,440,249,048,996
  5. Step 5: Solve for x
    x = 22,440,249,048,996/2,234,488.50
  6. Step 6: Final answer
    x = 10,042,678.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.