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Finding the Third Proportional to 411,257,772 and 890,228,952

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Solution

The third proportional to 411,257,772 and 890,228,952 is: 1,927,033,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,257,772 : 890,228,952 = 890,228,952 : x
  2. Step 2: Convert to fraction form
    411,257,772/890,228,952 = 890,228,952/x
  3. Step 3: Cross multiply
    411,257,772x = 890,228,952 × 890,228,952
  4. Step 4: Simplify right side
    411,257,772x = 792,507,586,979,018,240
  5. Step 5: Solve for x
    x = 792,507,586,979,018,240/411,257,772
  6. Step 6: Final answer
    x = 1,927,033,702.31

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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.