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Finding the Third Proportional to 2,798,106 and 6,024,303

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Solution

The third proportional to 2,798,106 and 6,024,303 is: 12,970,282.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798,106 : 6,024,303 = 6,024,303 : x
  2. Step 2: Convert to fraction form
    2,798,106/6,024,303 = 6,024,303/x
  3. Step 3: Cross multiply
    2,798,106x = 6,024,303 × 6,024,303
  4. Step 4: Simplify right side
    2,798,106x = 36,292,226,635,809
  5. Step 5: Solve for x
    x = 36,292,226,635,809/2,798,106
  6. Step 6: Final answer
    x = 12,970,282.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.