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Finding the Third Proportional to 814,476 and 1,737,128

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Solution

The third proportional to 814,476 and 1,737,128 is: 3,704,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,476 : 1,737,128 = 1,737,128 : x
  2. Step 2: Convert to fraction form
    814,476/1,737,128 = 1,737,128/x
  3. Step 3: Cross multiply
    814,476x = 1,737,128 × 1,737,128
  4. Step 4: Simplify right side
    814,476x = 3,017,613,688,384
  5. Step 5: Solve for x
    x = 3,017,613,688,384/814,476
  6. Step 6: Final answer
    x = 3,704,975.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.