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Finding the Third Proportional to 783,923 and 1,717,319

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Solution

The third proportional to 783,923 and 1,717,319 is: 3,762,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,923 : 1,717,319 = 1,717,319 : x
  2. Step 2: Convert to fraction form
    783,923/1,717,319 = 1,717,319/x
  3. Step 3: Cross multiply
    783,923x = 1,717,319 × 1,717,319
  4. Step 4: Simplify right side
    783,923x = 2,949,184,547,761
  5. Step 5: Solve for x
    x = 2,949,184,547,761/783,923
  6. Step 6: Final answer
    x = 3,762,084.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.