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Finding the Third Proportional to 390,057,903 and 812,400,785

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Solution

The third proportional to 390,057,903 and 812,400,785 is: 1,692,043,746.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,057,903 : 812,400,785 = 812,400,785 : x
  2. Step 2: Convert to fraction form
    390,057,903/812,400,785 = 812,400,785/x
  3. Step 3: Cross multiply
    390,057,903x = 812,400,785 × 812,400,785
  4. Step 4: Simplify right side
    390,057,903x = 659,995,035,468,616,192
  5. Step 5: Solve for x
    x = 659,995,035,468,616,192/390,057,903
  6. Step 6: Final answer
    x = 1,692,043,746.31

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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.