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Finding the Third Proportional to 3,050,905.50 and 4,615,724.25

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Solution

The third proportional to 3,050,905.50 and 4,615,724.25 is: 6,983,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050,905.50 : 4,615,724.25 = 4,615,724.25 : x
  2. Step 2: Convert to fraction form
    3,050,905.50/4,615,724.25 = 4,615,724.25/x
  3. Step 3: Cross multiply
    3,050,905.50x = 4,615,724.25 × 4,615,724.25
  4. Step 4: Simplify right side
    3,050,905.50x = 21,304,910,352,038.06
  5. Step 5: Solve for x
    x = 21,304,910,352,038.06/3,050,905.50
  6. Step 6: Final answer
    x = 6,983,143.32

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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.