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Finding the Third Proportional to 2,786,920 and 4,072,835

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Solution

The third proportional to 2,786,920 and 4,072,835 is: 5,952,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786,920 : 4,072,835 = 4,072,835 : x
  2. Step 2: Convert to fraction form
    2,786,920/4,072,835 = 4,072,835/x
  3. Step 3: Cross multiply
    2,786,920x = 4,072,835 × 4,072,835
  4. Step 4: Simplify right side
    2,786,920x = 16,587,984,937,225
  5. Step 5: Solve for x
    x = 16,587,984,937,225/2,786,920
  6. Step 6: Final answer
    x = 5,952,085.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.