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Finding the Third Proportional to 1,913,376 and 4,059,984

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Solution

The third proportional to 1,913,376 and 4,059,984 is: 8,614,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,376 : 4,059,984 = 4,059,984 : x
  2. Step 2: Convert to fraction form
    1,913,376/4,059,984 = 4,059,984/x
  3. Step 3: Cross multiply
    1,913,376x = 4,059,984 × 4,059,984
  4. Step 4: Simplify right side
    1,913,376x = 16,483,470,080,256
  5. Step 5: Solve for x
    x = 16,483,470,080,256/1,913,376
  6. Step 6: Final answer
    x = 8,614,861.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.