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Finding the Third Proportional to 585,984 and 1,254,912

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Solution

The third proportional to 585,984 and 1,254,912 is: 2,687,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,984 : 1,254,912 = 1,254,912 : x
  2. Step 2: Convert to fraction form
    585,984/1,254,912 = 1,254,912/x
  3. Step 3: Cross multiply
    585,984x = 1,254,912 × 1,254,912
  4. Step 4: Simplify right side
    585,984x = 1,574,804,127,744
  5. Step 5: Solve for x
    x = 1,574,804,127,744/585,984
  6. Step 6: Final answer
    x = 2,687,452.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.