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Finding the Third Proportional to 843,088 and 1,285,640

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Solution

The third proportional to 843,088 and 1,285,640 is: 1,960,495.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,088 : 1,285,640 = 1,285,640 : x
  2. Step 2: Convert to fraction form
    843,088/1,285,640 = 1,285,640/x
  3. Step 3: Cross multiply
    843,088x = 1,285,640 × 1,285,640
  4. Step 4: Simplify right side
    843,088x = 1,652,870,209,600
  5. Step 5: Solve for x
    x = 1,652,870,209,600/843,088
  6. Step 6: Final answer
    x = 1,960,495.48

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.