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Finding the Third Proportional to 3,830,841 and 5,713,038

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Solution

The third proportional to 3,830,841 and 5,713,038 is: 8,520,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,841 : 5,713,038 = 5,713,038 : x
  2. Step 2: Convert to fraction form
    3,830,841/5,713,038 = 5,713,038/x
  3. Step 3: Cross multiply
    3,830,841x = 5,713,038 × 5,713,038
  4. Step 4: Simplify right side
    3,830,841x = 32,638,803,189,444
  5. Step 5: Solve for x
    x = 32,638,803,189,444/3,830,841
  6. Step 6: Final answer
    x = 8,520,009.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.