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Finding the Third Proportional to 683,533.50 and 1,495,737

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Solution

The third proportional to 683,533.50 and 1,495,737 is: 3,273,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,533.50 : 1,495,737 = 1,495,737 : x
  2. Step 2: Convert to fraction form
    683,533.50/1,495,737 = 1,495,737/x
  3. Step 3: Cross multiply
    683,533.50x = 1,495,737 × 1,495,737
  4. Step 4: Simplify right side
    683,533.50x = 2,237,229,173,169
  5. Step 5: Solve for x
    x = 2,237,229,173,169/683,533.50
  6. Step 6: Final answer
    x = 3,273,035.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.