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Finding the Third Proportional to 822,435 and 1,833,973.50

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Solution

The third proportional to 822,435 and 1,833,973.50 is: 4,089,634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,435 : 1,833,973.50 = 1,833,973.50 : x
  2. Step 2: Convert to fraction form
    822,435/1,833,973.50 = 1,833,973.50/x
  3. Step 3: Cross multiply
    822,435x = 1,833,973.50 × 1,833,973.50
  4. Step 4: Simplify right side
    822,435x = 3,363,458,798,702.25
  5. Step 5: Solve for x
    x = 3,363,458,798,702.25/822,435
  6. Step 6: Final answer
    x = 4,089,634.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.