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Finding the Third Proportional to 1,085,195 and 1,596,423

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Solution

The third proportional to 1,085,195 and 1,596,423 is: 2,348,487.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085,195 : 1,596,423 = 1,596,423 : x
  2. Step 2: Convert to fraction form
    1,085,195/1,596,423 = 1,596,423/x
  3. Step 3: Cross multiply
    1,085,195x = 1,596,423 × 1,596,423
  4. Step 4: Simplify right side
    1,085,195x = 2,548,566,394,929
  5. Step 5: Solve for x
    x = 2,548,566,394,929/1,085,195
  6. Step 6: Final answer
    x = 2,348,487.04

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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.