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Finding the Third Proportional to 962,309 and 1,489,877

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Solution

The third proportional to 962,309 and 1,489,877 is: 2,306,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,309 : 1,489,877 = 1,489,877 : x
  2. Step 2: Convert to fraction form
    962,309/1,489,877 = 1,489,877/x
  3. Step 3: Cross multiply
    962,309x = 1,489,877 × 1,489,877
  4. Step 4: Simplify right side
    962,309x = 2,219,733,475,129
  5. Step 5: Solve for x
    x = 2,219,733,475,129/962,309
  6. Step 6: Final answer
    x = 2,306,674.34

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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.