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Finding the Third Proportional to 702,176 and 1,003,416

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Solution

The third proportional to 702,176 and 1,003,416 is: 1,433,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,176 : 1,003,416 = 1,003,416 : x
  2. Step 2: Convert to fraction form
    702,176/1,003,416 = 1,003,416/x
  3. Step 3: Cross multiply
    702,176x = 1,003,416 × 1,003,416
  4. Step 4: Simplify right side
    702,176x = 1,006,843,669,056
  5. Step 5: Solve for x
    x = 1,006,843,669,056/702,176
  6. Step 6: Final answer
    x = 1,433,890.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.