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Finding the Third Proportional to 389,039,937 and 840,196,276

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Solution

The third proportional to 389,039,937 and 840,196,276 is: 1,814,543,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,039,937 : 840,196,276 = 840,196,276 : x
  2. Step 2: Convert to fraction form
    389,039,937/840,196,276 = 840,196,276/x
  3. Step 3: Cross multiply
    389,039,937x = 840,196,276 × 840,196,276
  4. Step 4: Simplify right side
    389,039,937x = 705,929,782,204,268,160
  5. Step 5: Solve for x
    x = 705,929,782,204,268,160/389,039,937
  6. Step 6: Final answer
    x = 1,814,543,225.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.