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Finding the Third Proportional to 464,454 and 1,017,423

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Solution

The third proportional to 464,454 and 1,017,423 is: 2,228,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,454 : 1,017,423 = 1,017,423 : x
  2. Step 2: Convert to fraction form
    464,454/1,017,423 = 1,017,423/x
  3. Step 3: Cross multiply
    464,454x = 1,017,423 × 1,017,423
  4. Step 4: Simplify right side
    464,454x = 1,035,149,560,929
  5. Step 5: Solve for x
    x = 1,035,149,560,929/464,454
  6. Step 6: Final answer
    x = 2,228,745.07

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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.