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Finding the Third Proportional to 2,898,816 and 6,148,416

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Solution

The third proportional to 2,898,816 and 6,148,416 is: 13,040,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898,816 : 6,148,416 = 6,148,416 : x
  2. Step 2: Convert to fraction form
    2,898,816/6,148,416 = 6,148,416/x
  3. Step 3: Cross multiply
    2,898,816x = 6,148,416 × 6,148,416
  4. Step 4: Simplify right side
    2,898,816x = 37,803,019,309,056
  5. Step 5: Solve for x
    x = 37,803,019,309,056/2,898,816
  6. Step 6: Final answer
    x = 13,040,848.16

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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.