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Finding the Third Proportional to 976,324 and 1,511,596

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Solution

The third proportional to 976,324 and 1,511,596 is: 2,340,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,324 : 1,511,596 = 1,511,596 : x
  2. Step 2: Convert to fraction form
    976,324/1,511,596 = 1,511,596/x
  3. Step 3: Cross multiply
    976,324x = 1,511,596 × 1,511,596
  4. Step 4: Simplify right side
    976,324x = 2,284,922,467,216
  5. Step 5: Solve for x
    x = 2,284,922,467,216/976,324
  6. Step 6: Final answer
    x = 2,340,332.17

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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.