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Finding the Third Proportional to 424,995.61 and 918,496.34

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Solution

The third proportional to 424,995.61 and 918,496.34 is: 1,985,045.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,995.61 : 918,496.34 = 918,496.34 : x
  2. Step 2: Convert to fraction form
    424,995.61/918,496.34 = 918,496.34/x
  3. Step 3: Cross multiply
    424,995.61x = 918,496.34 × 918,496.34
  4. Step 4: Simplify right side
    424,995.61x = 843,635,519,130.61
  5. Step 5: Solve for x
    x = 843,635,519,130.61/424,995.61
  6. Step 6: Final answer
    x = 1,985,045.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.