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Finding the Third Proportional to 570,786 and 839,628

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Solution

The third proportional to 570,786 and 839,628 is: 1,235,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,786 : 839,628 = 839,628 : x
  2. Step 2: Convert to fraction form
    570,786/839,628 = 839,628/x
  3. Step 3: Cross multiply
    570,786x = 839,628 × 839,628
  4. Step 4: Simplify right side
    570,786x = 704,975,178,384
  5. Step 5: Solve for x
    x = 704,975,178,384/570,786
  6. Step 6: Final answer
    x = 1,235,095.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.