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Finding the Third Proportional to 590,875 and 1,424,564

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Solution

The third proportional to 590,875 and 1,424,564 is: 3,434,537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,875 : 1,424,564 = 1,424,564 : x
  2. Step 2: Convert to fraction form
    590,875/1,424,564 = 1,424,564/x
  3. Step 3: Cross multiply
    590,875x = 1,424,564 × 1,424,564
  4. Step 4: Simplify right side
    590,875x = 2,029,382,590,096
  5. Step 5: Solve for x
    x = 2,029,382,590,096/590,875
  6. Step 6: Final answer
    x = 3,434,537.91

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.