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Finding the Third Proportional to 2,688,004 and 5,690,816

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Solution

The third proportional to 2,688,004 and 5,690,816 is: 12,048,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688,004 : 5,690,816 = 5,690,816 : x
  2. Step 2: Convert to fraction form
    2,688,004/5,690,816 = 5,690,816/x
  3. Step 3: Cross multiply
    2,688,004x = 5,690,816 × 5,690,816
  4. Step 4: Simplify right side
    2,688,004x = 32,385,386,745,856
  5. Step 5: Solve for x
    x = 32,385,386,745,856/2,688,004
  6. Step 6: Final answer
    x = 12,048,117.02

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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.