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Finding the Third Proportional to 2,938,976 and 4,539,416

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Solution

The third proportional to 2,938,976 and 4,539,416 is: 7,011,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,976 : 4,539,416 = 4,539,416 : x
  2. Step 2: Convert to fraction form
    2,938,976/4,539,416 = 4,539,416/x
  3. Step 3: Cross multiply
    2,938,976x = 4,539,416 × 4,539,416
  4. Step 4: Simplify right side
    2,938,976x = 20,606,297,621,056
  5. Step 5: Solve for x
    x = 20,606,297,621,056/2,938,976
  6. Step 6: Final answer
    x = 7,011,386.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.