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Finding the Third Proportional to 476,516 and 1,038,460

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Solution

The third proportional to 476,516 and 1,038,460 is: 2,263,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,516 : 1,038,460 = 1,038,460 : x
  2. Step 2: Convert to fraction form
    476,516/1,038,460 = 1,038,460/x
  3. Step 3: Cross multiply
    476,516x = 1,038,460 × 1,038,460
  4. Step 4: Simplify right side
    476,516x = 1,078,399,171,600
  5. Step 5: Solve for x
    x = 1,078,399,171,600/476,516
  6. Step 6: Final answer
    x = 2,263,091.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.