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Finding the Third Proportional to 413,336 and 907,984

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Solution

The third proportional to 413,336 and 907,984 is: 1,994,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,336 : 907,984 = 907,984 : x
  2. Step 2: Convert to fraction form
    413,336/907,984 = 907,984/x
  3. Step 3: Cross multiply
    413,336x = 907,984 × 907,984
  4. Step 4: Simplify right side
    413,336x = 824,434,944,256
  5. Step 5: Solve for x
    x = 824,434,944,256/413,336
  6. Step 6: Final answer
    x = 1,994,587.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.