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Finding the Third Proportional to 828,597 and 1,279,527

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Solution

The third proportional to 828,597 and 1,279,527 is: 1,975,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,597 : 1,279,527 = 1,279,527 : x
  2. Step 2: Convert to fraction form
    828,597/1,279,527 = 1,279,527/x
  3. Step 3: Cross multiply
    828,597x = 1,279,527 × 1,279,527
  4. Step 4: Simplify right side
    828,597x = 1,637,189,343,729
  5. Step 5: Solve for x
    x = 1,637,189,343,729/828,597
  6. Step 6: Final answer
    x = 1,975,857.19

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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.