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Finding the Third Proportional to 395,385,196 and 823,495,742

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Solution

The third proportional to 395,385,196 and 823,495,742 is: 1,715,150,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,385,196 : 823,495,742 = 823,495,742 : x
  2. Step 2: Convert to fraction form
    395,385,196/823,495,742 = 823,495,742/x
  3. Step 3: Cross multiply
    395,385,196x = 823,495,742 × 823,495,742
  4. Step 4: Simplify right side
    395,385,196x = 678,145,237,092,130,560
  5. Step 5: Solve for x
    x = 678,145,237,092,130,560/395,385,196
  6. Step 6: Final answer
    x = 1,715,150,804.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.