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Finding the Third Proportional to 857,033 and 1,636,306

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Solution

The third proportional to 857,033 and 1,636,306 is: 3,124,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,033 : 1,636,306 = 1,636,306 : x
  2. Step 2: Convert to fraction form
    857,033/1,636,306 = 1,636,306/x
  3. Step 3: Cross multiply
    857,033x = 1,636,306 × 1,636,306
  4. Step 4: Simplify right side
    857,033x = 2,677,497,325,636
  5. Step 5: Solve for x
    x = 2,677,497,325,636/857,033
  6. Step 6: Final answer
    x = 3,124,147.29

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.