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Finding the Third Proportional to 683,595 and 1,472,368.50

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Solution

The third proportional to 683,595 and 1,472,368.50 is: 3,171,276.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,595 : 1,472,368.50 = 1,472,368.50 : x
  2. Step 2: Convert to fraction form
    683,595/1,472,368.50 = 1,472,368.50/x
  3. Step 3: Cross multiply
    683,595x = 1,472,368.50 × 1,472,368.50
  4. Step 4: Simplify right side
    683,595x = 2,167,868,999,792.25
  5. Step 5: Solve for x
    x = 2,167,868,999,792.25/683,595
  6. Step 6: Final answer
    x = 3,171,276.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.