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Finding the Third Proportional to 2,105,924 and 4,548,090

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Solution

The third proportional to 2,105,924 and 4,548,090 is: 9,822,350.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,924 : 4,548,090 = 4,548,090 : x
  2. Step 2: Convert to fraction form
    2,105,924/4,548,090 = 4,548,090/x
  3. Step 3: Cross multiply
    2,105,924x = 4,548,090 × 4,548,090
  4. Step 4: Simplify right side
    2,105,924x = 20,685,122,648,100
  5. Step 5: Solve for x
    x = 20,685,122,648,100/2,105,924
  6. Step 6: Final answer
    x = 9,822,350.02

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