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Finding the Third Proportional to 390,062,268 and 812,409,756

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Solution

The third proportional to 390,062,268 and 812,409,756 is: 1,692,062,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,062,268 : 812,409,756 = 812,409,756 : x
  2. Step 2: Convert to fraction form
    390,062,268/812,409,756 = 812,409,756/x
  3. Step 3: Cross multiply
    390,062,268x = 812,409,756 × 812,409,756
  4. Step 4: Simplify right side
    390,062,268x = 660,009,611,643,979,520
  5. Step 5: Solve for x
    x = 660,009,611,643,979,520/390,062,268
  6. Step 6: Final answer
    x = 1,692,062,180.30

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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.