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Finding the Third Proportional to 1,200,679,200 and 1,793,950,416

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Solution

The third proportional to 1,200,679,200 and 1,793,950,416 is: 2,680,364,659.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,679,200 : 1,793,950,416 = 1,793,950,416 : x
  2. Step 2: Convert to fraction form
    1,200,679,200/1,793,950,416 = 1,793,950,416/x
  3. Step 3: Cross multiply
    1,200,679,200x = 1,793,950,416 × 1,793,950,416
  4. Step 4: Simplify right side
    1,200,679,200x = 3,218,258,095,066,572,800
  5. Step 5: Solve for x
    x = 3,218,258,095,066,572,800/1,200,679,200
  6. Step 6: Final answer
    x = 2,680,364,659.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.