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Finding the Third Proportional to 828,099 and 1,246,294

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Solution

The third proportional to 828,099 and 1,246,294 is: 1,875,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,099 : 1,246,294 = 1,246,294 : x
  2. Step 2: Convert to fraction form
    828,099/1,246,294 = 1,246,294/x
  3. Step 3: Cross multiply
    828,099x = 1,246,294 × 1,246,294
  4. Step 4: Simplify right side
    828,099x = 1,553,248,734,436
  5. Step 5: Solve for x
    x = 1,553,248,734,436/828,099
  6. Step 6: Final answer
    x = 1,875,680.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.