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Finding the Third Proportional to 740,432 and 1,585,844

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Solution

The third proportional to 740,432 and 1,585,844 is: 3,396,532.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,432 : 1,585,844 = 1,585,844 : x
  2. Step 2: Convert to fraction form
    740,432/1,585,844 = 1,585,844/x
  3. Step 3: Cross multiply
    740,432x = 1,585,844 × 1,585,844
  4. Step 4: Simplify right side
    740,432x = 2,514,901,192,336
  5. Step 5: Solve for x
    x = 2,514,901,192,336/740,432
  6. Step 6: Final answer
    x = 3,396,532.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.