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Finding the Third Proportional to 477,072 and 1,011,024

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Solution

The third proportional to 477,072 and 1,011,024 is: 2,142,589.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,072 : 1,011,024 = 1,011,024 : x
  2. Step 2: Convert to fraction form
    477,072/1,011,024 = 1,011,024/x
  3. Step 3: Cross multiply
    477,072x = 1,011,024 × 1,011,024
  4. Step 4: Simplify right side
    477,072x = 1,022,169,528,576
  5. Step 5: Solve for x
    x = 1,022,169,528,576/477,072
  6. Step 6: Final answer
    x = 2,142,589.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.