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Finding the Third Proportional to 411,257,770 and 890,228,948

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Solution

The third proportional to 411,257,770 and 890,228,948 is: 1,927,033,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,257,770 : 890,228,948 = 890,228,948 : x
  2. Step 2: Convert to fraction form
    411,257,770/890,228,948 = 890,228,948/x
  3. Step 3: Cross multiply
    411,257,770x = 890,228,948 × 890,228,948
  4. Step 4: Simplify right side
    411,257,770x = 792,507,579,857,186,688
  5. Step 5: Solve for x
    x = 792,507,579,857,186,688/411,257,770
  6. Step 6: Final answer
    x = 1,927,033,694.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.