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Finding the Third Proportional to 931,420.50 and 1,458,025.50

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Solution

The third proportional to 931,420.50 and 1,458,025.50 is: 2,282,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,420.50 : 1,458,025.50 = 1,458,025.50 : x
  2. Step 2: Convert to fraction form
    931,420.50/1,458,025.50 = 1,458,025.50/x
  3. Step 3: Cross multiply
    931,420.50x = 1,458,025.50 × 1,458,025.50
  4. Step 4: Simplify right side
    931,420.50x = 2,125,838,358,650.25
  5. Step 5: Solve for x
    x = 2,125,838,358,650.25/931,420.50
  6. Step 6: Final answer
    x = 2,282,361.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.