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Finding the Third Proportional to 4,576,348 and 6,923,565

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Solution

The third proportional to 4,576,348 and 6,923,565 is: 10,474,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576,348 : 6,923,565 = 6,923,565 : x
  2. Step 2: Convert to fraction form
    4,576,348/6,923,565 = 6,923,565/x
  3. Step 3: Cross multiply
    4,576,348x = 6,923,565 × 6,923,565
  4. Step 4: Simplify right side
    4,576,348x = 47,935,752,309,225
  5. Step 5: Solve for x
    x = 47,935,752,309,225/4,576,348
  6. Step 6: Final answer
    x = 10,474,673.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.