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Finding the Third Proportional to 754,064 and 1,626,208

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Solution

The third proportional to 754,064 and 1,626,208 is: 3,507,066.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,064 : 1,626,208 = 1,626,208 : x
  2. Step 2: Convert to fraction form
    754,064/1,626,208 = 1,626,208/x
  3. Step 3: Cross multiply
    754,064x = 1,626,208 × 1,626,208
  4. Step 4: Simplify right side
    754,064x = 2,644,552,459,264
  5. Step 5: Solve for x
    x = 2,644,552,459,264/754,064
  6. Step 6: Final answer
    x = 3,507,066.32

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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.