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Finding the Third Proportional to 828,602 and 1,279,535

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Solution

The third proportional to 828,602 and 1,279,535 is: 1,975,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,602 : 1,279,535 = 1,279,535 : x
  2. Step 2: Convert to fraction form
    828,602/1,279,535 = 1,279,535/x
  3. Step 3: Cross multiply
    828,602x = 1,279,535 × 1,279,535
  4. Step 4: Simplify right side
    828,602x = 1,637,209,816,225
  5. Step 5: Solve for x
    x = 1,637,209,816,225/828,602
  6. Step 6: Final answer
    x = 1,975,869.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.