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Finding the Third Proportional to 673,134 and 1,453,294.50

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Solution

The third proportional to 673,134 and 1,453,294.50 is: 3,137,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,134 : 1,453,294.50 = 1,453,294.50 : x
  2. Step 2: Convert to fraction form
    673,134/1,453,294.50 = 1,453,294.50/x
  3. Step 3: Cross multiply
    673,134x = 1,453,294.50 × 1,453,294.50
  4. Step 4: Simplify right side
    673,134x = 2,112,064,903,730.25
  5. Step 5: Solve for x
    x = 2,112,064,903,730.25/673,134
  6. Step 6: Final answer
    x = 3,137,658.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.