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Finding the Third Proportional to 909,225 and 1,363,837.50

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Solution

The third proportional to 909,225 and 1,363,837.50 is: 2,045,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,225 : 1,363,837.50 = 1,363,837.50 : x
  2. Step 2: Convert to fraction form
    909,225/1,363,837.50 = 1,363,837.50/x
  3. Step 3: Cross multiply
    909,225x = 1,363,837.50 × 1,363,837.50
  4. Step 4: Simplify right side
    909,225x = 1,860,052,726,406.25
  5. Step 5: Solve for x
    x = 1,860,052,726,406.25/909,225
  6. Step 6: Final answer
    x = 2,045,756.25

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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.