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Finding the Third Proportional to 2,326,590 and 4,921,438.50

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Solution

The third proportional to 2,326,590 and 4,921,438.50 is: 10,410,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326,590 : 4,921,438.50 = 4,921,438.50 : x
  2. Step 2: Convert to fraction form
    2,326,590/4,921,438.50 = 4,921,438.50/x
  3. Step 3: Cross multiply
    2,326,590x = 4,921,438.50 × 4,921,438.50
  4. Step 4: Simplify right side
    2,326,590x = 24,220,556,909,282.25
  5. Step 5: Solve for x
    x = 24,220,556,909,282.25/2,326,590
  6. Step 6: Final answer
    x = 10,410,324.51

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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.