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Finding the Third Proportional to 840,239 and 1,260,972

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Solution

The third proportional to 840,239 and 1,260,972 is: 1,892,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,239 : 1,260,972 = 1,260,972 : x
  2. Step 2: Convert to fraction form
    840,239/1,260,972 = 1,260,972/x
  3. Step 3: Cross multiply
    840,239x = 1,260,972 × 1,260,972
  4. Step 4: Simplify right side
    840,239x = 1,590,050,384,784
  5. Step 5: Solve for x
    x = 1,590,050,384,784/840,239
  6. Step 6: Final answer
    x = 1,892,378.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.