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Finding the Third Proportional to 390,057,901 and 812,400,781

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Solution

The third proportional to 390,057,901 and 812,400,781 is: 1,692,043,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057,901 : 812,400,781 = 812,400,781 : x
  2. Step 2: Convert to fraction form
    390,057,901/812,400,781 = 812,400,781/x
  3. Step 3: Cross multiply
    390,057,901x = 812,400,781 × 812,400,781
  4. Step 4: Simplify right side
    390,057,901x = 659,995,028,969,409,920
  5. Step 5: Solve for x
    x = 659,995,028,969,409,920/390,057,901
  6. Step 6: Final answer
    x = 1,692,043,738.32

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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.