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Finding the Third Proportional to 828,825 and 1,238,124

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Solution

The third proportional to 828,825 and 1,238,124 is: 1,849,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,825 : 1,238,124 = 1,238,124 : x
  2. Step 2: Convert to fraction form
    828,825/1,238,124 = 1,238,124/x
  3. Step 3: Cross multiply
    828,825x = 1,238,124 × 1,238,124
  4. Step 4: Simplify right side
    828,825x = 1,532,951,039,376
  5. Step 5: Solve for x
    x = 1,532,951,039,376/828,825
  6. Step 6: Final answer
    x = 1,849,547.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.