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Finding the Third Proportional to 295,414,802 and 683,831,806

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Solution

The third proportional to 295,414,802 and 683,831,806 is: 1,582,946,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414,802 : 683,831,806 = 683,831,806 : x
  2. Step 2: Convert to fraction form
    295,414,802/683,831,806 = 683,831,806/x
  3. Step 3: Cross multiply
    295,414,802x = 683,831,806 × 683,831,806
  4. Step 4: Simplify right side
    295,414,802x = 467,625,938,897,221,632
  5. Step 5: Solve for x
    x = 467,625,938,897,221,632/295,414,802
  6. Step 6: Final answer
    x = 1,582,946,879.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.