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Finding the Third Proportional to 962,838 and 1,346,040

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Solution

The third proportional to 962,838 and 1,346,040 is: 1,881,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,838 : 1,346,040 = 1,346,040 : x
  2. Step 2: Convert to fraction form
    962,838/1,346,040 = 1,346,040/x
  3. Step 3: Cross multiply
    962,838x = 1,346,040 × 1,346,040
  4. Step 4: Simplify right side
    962,838x = 1,811,823,681,600
  5. Step 5: Solve for x
    x = 1,811,823,681,600/962,838
  6. Step 6: Final answer
    x = 1,881,753.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.