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Finding the Third Proportional to 2,097,971 and 3,134,008.50

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Solution

The third proportional to 2,097,971 and 3,134,008.50 is: 4,681,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,971 : 3,134,008.50 = 3,134,008.50 : x
  2. Step 2: Convert to fraction form
    2,097,971/3,134,008.50 = 3,134,008.50/x
  3. Step 3: Cross multiply
    2,097,971x = 3,134,008.50 × 3,134,008.50
  4. Step 4: Simplify right side
    2,097,971x = 9,822,009,278,072.25
  5. Step 5: Solve for x
    x = 9,822,009,278,072.25/2,097,971
  6. Step 6: Final answer
    x = 4,681,670.66

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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.