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Finding the Third Proportional to 722,907.50 and 1,570,436

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Solution

The third proportional to 722,907.50 and 1,570,436 is: 3,411,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,907.50 : 1,570,436 = 1,570,436 : x
  2. Step 2: Convert to fraction form
    722,907.50/1,570,436 = 1,570,436/x
  3. Step 3: Cross multiply
    722,907.50x = 1,570,436 × 1,570,436
  4. Step 4: Simplify right side
    722,907.50x = 2,466,269,230,096
  5. Step 5: Solve for x
    x = 2,466,269,230,096/722,907.50
  6. Step 6: Final answer
    x = 3,411,597.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.