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Finding the Third Proportional to 384,938,730 and 790,284,192

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Solution

The third proportional to 384,938,730 and 790,284,192 is: 1,622,463,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,938,730 : 790,284,192 = 790,284,192 : x
  2. Step 2: Convert to fraction form
    384,938,730/790,284,192 = 790,284,192/x
  3. Step 3: Cross multiply
    384,938,730x = 790,284,192 × 790,284,192
  4. Step 4: Simplify right side
    384,938,730x = 624,549,104,125,092,864
  5. Step 5: Solve for x
    x = 624,549,104,125,092,864/384,938,730
  6. Step 6: Final answer
    x = 1,622,463,668.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.