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Finding the Third Proportional to 2,299,634 and 4,837,594

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Solution

The third proportional to 2,299,634 and 4,837,594 is: 10,176,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299,634 : 4,837,594 = 4,837,594 : x
  2. Step 2: Convert to fraction form
    2,299,634/4,837,594 = 4,837,594/x
  3. Step 3: Cross multiply
    2,299,634x = 4,837,594 × 4,837,594
  4. Step 4: Simplify right side
    2,299,634x = 23,402,315,708,836
  5. Step 5: Solve for x
    x = 23,402,315,708,836/2,299,634
  6. Step 6: Final answer
    x = 10,176,539.27

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.