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Finding the Third Proportional to 745,038 and 1,557,531

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Solution

The third proportional to 745,038 and 1,557,531 is: 3,256,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,038 : 1,557,531 = 1,557,531 : x
  2. Step 2: Convert to fraction form
    745,038/1,557,531 = 1,557,531/x
  3. Step 3: Cross multiply
    745,038x = 1,557,531 × 1,557,531
  4. Step 4: Simplify right side
    745,038x = 2,425,902,815,961
  5. Step 5: Solve for x
    x = 2,425,902,815,961/745,038
  6. Step 6: Final answer
    x = 3,256,079.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.