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Finding the Third Proportional to 907,827 and 1,365,660

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Solution

The third proportional to 907,827 and 1,365,660 is: 2,054,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,827 : 1,365,660 = 1,365,660 : x
  2. Step 2: Convert to fraction form
    907,827/1,365,660 = 1,365,660/x
  3. Step 3: Cross multiply
    907,827x = 1,365,660 × 1,365,660
  4. Step 4: Simplify right side
    907,827x = 1,865,027,235,600
  5. Step 5: Solve for x
    x = 1,865,027,235,600/907,827
  6. Step 6: Final answer
    x = 2,054,386.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.