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Finding the Third Proportional to 477,512 and 1,020,576

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Solution

The third proportional to 477,512 and 1,020,576 is: 2,181,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,512 : 1,020,576 = 1,020,576 : x
  2. Step 2: Convert to fraction form
    477,512/1,020,576 = 1,020,576/x
  3. Step 3: Cross multiply
    477,512x = 1,020,576 × 1,020,576
  4. Step 4: Simplify right side
    477,512x = 1,041,575,371,776
  5. Step 5: Solve for x
    x = 1,041,575,371,776/477,512
  6. Step 6: Final answer
    x = 2,181,254.86

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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.