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Finding the Third Proportional to 962,858 and 1,346,037

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Solution

The third proportional to 962,858 and 1,346,037 is: 1,881,705.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,858 : 1,346,037 = 1,346,037 : x
  2. Step 2: Convert to fraction form
    962,858/1,346,037 = 1,346,037/x
  3. Step 3: Cross multiply
    962,858x = 1,346,037 × 1,346,037
  4. Step 4: Simplify right side
    962,858x = 1,811,815,605,369
  5. Step 5: Solve for x
    x = 1,811,815,605,369/962,858
  6. Step 6: Final answer
    x = 1,881,705.93

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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.