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Finding the Third Proportional to 907,812 and 1,365,633

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Solution

The third proportional to 907,812 and 1,365,633 is: 2,054,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,812 : 1,365,633 = 1,365,633 : x
  2. Step 2: Convert to fraction form
    907,812/1,365,633 = 1,365,633/x
  3. Step 3: Cross multiply
    907,812x = 1,365,633 × 1,365,633
  4. Step 4: Simplify right side
    907,812x = 1,864,953,490,689
  5. Step 5: Solve for x
    x = 1,864,953,490,689/907,812
  6. Step 6: Final answer
    x = 2,054,338.88

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Why These Related Problems?

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