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Finding the Third Proportional to 2,103,889 and 4,539,913

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Solution

The third proportional to 2,103,889 and 4,539,913 is: 9,796,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,889 : 4,539,913 = 4,539,913 : x
  2. Step 2: Convert to fraction form
    2,103,889/4,539,913 = 4,539,913/x
  3. Step 3: Cross multiply
    2,103,889x = 4,539,913 × 4,539,913
  4. Step 4: Simplify right side
    2,103,889x = 20,610,810,047,569
  5. Step 5: Solve for x
    x = 20,610,810,047,569/2,103,889
  6. Step 6: Final answer
    x = 9,796,529.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.