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Finding the Third Proportional to 589,047.75 and 900,693

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Solution

The third proportional to 589,047.75 and 900,693 is: 1,377,219.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,047.75 : 900,693 = 900,693 : x
  2. Step 2: Convert to fraction form
    589,047.75/900,693 = 900,693/x
  3. Step 3: Cross multiply
    589,047.75x = 900,693 × 900,693
  4. Step 4: Simplify right side
    589,047.75x = 811,247,880,249
  5. Step 5: Solve for x
    x = 811,247,880,249/589,047.75
  6. Step 6: Final answer
    x = 1,377,219.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.