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Finding the Third Proportional to 2,103,090 and 4,565,109

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Solution

The third proportional to 2,103,090 and 4,565,109 is: 9,909,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103,090 : 4,565,109 = 4,565,109 : x
  2. Step 2: Convert to fraction form
    2,103,090/4,565,109 = 4,565,109/x
  3. Step 3: Cross multiply
    2,103,090x = 4,565,109 × 4,565,109
  4. Step 4: Simplify right side
    2,103,090x = 20,840,220,181,881
  5. Step 5: Solve for x
    x = 20,840,220,181,881/2,103,090
  6. Step 6: Final answer
    x = 9,909,333.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.