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Finding the Third Proportional to 907,812 and 1,365,637.50

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Solution

The third proportional to 907,812 and 1,365,637.50 is: 2,054,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,812 : 1,365,637.50 = 1,365,637.50 : x
  2. Step 2: Convert to fraction form
    907,812/1,365,637.50 = 1,365,637.50/x
  3. Step 3: Cross multiply
    907,812x = 1,365,637.50 × 1,365,637.50
  4. Step 4: Simplify right side
    907,812x = 1,864,965,781,406.25
  5. Step 5: Solve for x
    x = 1,864,965,781,406.25/907,812
  6. Step 6: Final answer
    x = 2,054,352.42

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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.