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Finding the Third Proportional to 3,028,468.50 and 4,654,938.38

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Solution

The third proportional to 3,028,468.50 and 4,654,938.38 is: 7,154,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,028,468.50 : 4,654,938.38 = 4,654,938.38 : x
  2. Step 2: Convert to fraction form
    3,028,468.50/4,654,938.38 = 4,654,938.38/x
  3. Step 3: Cross multiply
    3,028,468.50x = 4,654,938.38 × 4,654,938.38
  4. Step 4: Simplify right side
    3,028,468.50x = 21,668,451,275,047.64
  5. Step 5: Solve for x
    x = 21,668,451,275,047.64/3,028,468.50
  6. Step 6: Final answer
    x = 7,154,920.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.