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Finding the Third Proportional to 874,152 and 1,319,264

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Solution

The third proportional to 874,152 and 1,319,264 is: 1,991,023.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,152 : 1,319,264 = 1,319,264 : x
  2. Step 2: Convert to fraction form
    874,152/1,319,264 = 1,319,264/x
  3. Step 3: Cross multiply
    874,152x = 1,319,264 × 1,319,264
  4. Step 4: Simplify right side
    874,152x = 1,740,457,501,696
  5. Step 5: Solve for x
    x = 1,740,457,501,696/874,152
  6. Step 6: Final answer
    x = 1,991,023.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.