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Finding the Third Proportional to 962,280 and 1,489,896

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Solution

The third proportional to 962,280 and 1,489,896 is: 2,306,802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,280 : 1,489,896 = 1,489,896 : x
  2. Step 2: Convert to fraction form
    962,280/1,489,896 = 1,489,896/x
  3. Step 3: Cross multiply
    962,280x = 1,489,896 × 1,489,896
  4. Step 4: Simplify right side
    962,280x = 2,219,790,090,816
  5. Step 5: Solve for x
    x = 2,219,790,090,816/962,280
  6. Step 6: Final answer
    x = 2,306,802.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.