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Finding the Third Proportional to 2,071,728 and 4,287,312

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Solution

The third proportional to 2,071,728 and 4,287,312 is: 8,872,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,728 : 4,287,312 = 4,287,312 : x
  2. Step 2: Convert to fraction form
    2,071,728/4,287,312 = 4,287,312/x
  3. Step 3: Cross multiply
    2,071,728x = 4,287,312 × 4,287,312
  4. Step 4: Simplify right side
    2,071,728x = 18,381,044,185,344
  5. Step 5: Solve for x
    x = 18,381,044,185,344/2,071,728
  6. Step 6: Final answer
    x = 8,872,325.03

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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.