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Finding the Third Proportional to 477,549 and 1,046,951

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Solution

The third proportional to 477,549 and 1,046,951 is: 2,295,275.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,549 : 1,046,951 = 1,046,951 : x
  2. Step 2: Convert to fraction form
    477,549/1,046,951 = 1,046,951/x
  3. Step 3: Cross multiply
    477,549x = 1,046,951 × 1,046,951
  4. Step 4: Simplify right side
    477,549x = 1,096,106,396,401
  5. Step 5: Solve for x
    x = 1,096,106,396,401/477,549
  6. Step 6: Final answer
    x = 2,295,275.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.