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Finding the Third Proportional to 742,676 and 1,585,576

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Solution

The third proportional to 742,676 and 1,585,576 is: 3,385,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,676 : 1,585,576 = 1,585,576 : x
  2. Step 2: Convert to fraction form
    742,676/1,585,576 = 1,585,576/x
  3. Step 3: Cross multiply
    742,676x = 1,585,576 × 1,585,576
  4. Step 4: Simplify right side
    742,676x = 2,514,051,251,776
  5. Step 5: Solve for x
    x = 2,514,051,251,776/742,676
  6. Step 6: Final answer
    x = 3,385,125.21

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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.