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Finding the Third Proportional to 1,975,035 and 4,230,000

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Solution

The third proportional to 1,975,035 and 4,230,000 is: 9,059,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975,035 : 4,230,000 = 4,230,000 : x
  2. Step 2: Convert to fraction form
    1,975,035/4,230,000 = 4,230,000/x
  3. Step 3: Cross multiply
    1,975,035x = 4,230,000 × 4,230,000
  4. Step 4: Simplify right side
    1,975,035x = 17,892,900,000,000
  5. Step 5: Solve for x
    x = 17,892,900,000,000/1,975,035
  6. Step 6: Final answer
    x = 9,059,535.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.