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Finding the Third Proportional to 418,927,971 and 888,921,380

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Solution

The third proportional to 418,927,971 and 888,921,380 is: 1,886,198,283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,927,971 : 888,921,380 = 888,921,380 : x
  2. Step 2: Convert to fraction form
    418,927,971/888,921,380 = 888,921,380/x
  3. Step 3: Cross multiply
    418,927,971x = 888,921,380 × 888,921,380
  4. Step 4: Simplify right side
    418,927,971x = 790,181,219,821,104,384
  5. Step 5: Solve for x
    x = 790,181,219,821,104,384/418,927,971
  6. Step 6: Final answer
    x = 1,886,198,283.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.