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Finding the Third Proportional to 740,089 and 1,594,377

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Solution

The third proportional to 740,089 and 1,594,377 is: 3,434,773.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,089 : 1,594,377 = 1,594,377 : x
  2. Step 2: Convert to fraction form
    740,089/1,594,377 = 1,594,377/x
  3. Step 3: Cross multiply
    740,089x = 1,594,377 × 1,594,377
  4. Step 4: Simplify right side
    740,089x = 2,542,038,018,129
  5. Step 5: Solve for x
    x = 2,542,038,018,129/740,089
  6. Step 6: Final answer
    x = 3,434,773.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.