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Finding the Third Proportional to 974,825 and 1,515,396

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Solution

The third proportional to 974,825 and 1,515,396 is: 2,355,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,825 : 1,515,396 = 1,515,396 : x
  2. Step 2: Convert to fraction form
    974,825/1,515,396 = 1,515,396/x
  3. Step 3: Cross multiply
    974,825x = 1,515,396 × 1,515,396
  4. Step 4: Simplify right side
    974,825x = 2,296,425,036,816
  5. Step 5: Solve for x
    x = 2,296,425,036,816/974,825
  6. Step 6: Final answer
    x = 2,355,730.55

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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.