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Finding the Third Proportional to 2,323,365 and 4,923,639

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Solution

The third proportional to 2,323,365 and 4,923,639 is: 10,434,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323,365 : 4,923,639 = 4,923,639 : x
  2. Step 2: Convert to fraction form
    2,323,365/4,923,639 = 4,923,639/x
  3. Step 3: Cross multiply
    2,323,365x = 4,923,639 × 4,923,639
  4. Step 4: Simplify right side
    2,323,365x = 24,242,221,002,321
  5. Step 5: Solve for x
    x = 24,242,221,002,321/2,323,365
  6. Step 6: Final answer
    x = 10,434,099.25

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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.