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Finding the Third Proportional to 892,802.25 and 1,341,238.50

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Solution

The third proportional to 892,802.25 and 1,341,238.50 is: 2,014,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,802.25 : 1,341,238.50 = 1,341,238.50 : x
  2. Step 2: Convert to fraction form
    892,802.25/1,341,238.50 = 1,341,238.50/x
  3. Step 3: Cross multiply
    892,802.25x = 1,341,238.50 × 1,341,238.50
  4. Step 4: Simplify right side
    892,802.25x = 1,798,920,713,882.25
  5. Step 5: Solve for x
    x = 1,798,920,713,882.25/892,802.25
  6. Step 6: Final answer
    x = 2,014,915.08

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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.