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Finding the Third Proportional to 937,280 and 1,941,025

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Solution

The third proportional to 937,280 and 1,941,025 is: 4,019,693.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    937,280 : 1,941,025 = 1,941,025 : x
  2. Step 2: Convert to fraction form
    937,280/1,941,025 = 1,941,025/x
  3. Step 3: Cross multiply
    937,280x = 1,941,025 × 1,941,025
  4. Step 4: Simplify right side
    937,280x = 3,767,578,050,625
  5. Step 5: Solve for x
    x = 3,767,578,050,625/937,280
  6. Step 6: Final answer
    x = 4,019,693.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.