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Finding the Third Proportional to 740,084 and 1,592,431

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Solution

The third proportional to 740,084 and 1,592,431 is: 3,426,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,084 : 1,592,431 = 1,592,431 : x
  2. Step 2: Convert to fraction form
    740,084/1,592,431 = 1,592,431/x
  3. Step 3: Cross multiply
    740,084x = 1,592,431 × 1,592,431
  4. Step 4: Simplify right side
    740,084x = 2,535,836,489,761
  5. Step 5: Solve for x
    x = 2,535,836,489,761/740,084
  6. Step 6: Final answer
    x = 3,426,417.12

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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.