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Finding the Third Proportional to 724,969 and 1,554,896

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Solution

The third proportional to 724,969 and 1,554,896 is: 3,334,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,969 : 1,554,896 = 1,554,896 : x
  2. Step 2: Convert to fraction form
    724,969/1,554,896 = 1,554,896/x
  3. Step 3: Cross multiply
    724,969x = 1,554,896 × 1,554,896
  4. Step 4: Simplify right side
    724,969x = 2,417,701,570,816
  5. Step 5: Solve for x
    x = 2,417,701,570,816/724,969
  6. Step 6: Final answer
    x = 3,334,903.38

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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.