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Finding the Third Proportional to 1,847,464.50 and 4,316,510.25

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Solution

The third proportional to 1,847,464.50 and 4,316,510.25 is: 10,085,314.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,464.50 : 4,316,510.25 = 4,316,510.25 : x
  2. Step 2: Convert to fraction form
    1,847,464.50/4,316,510.25 = 4,316,510.25/x
  3. Step 3: Cross multiply
    1,847,464.50x = 4,316,510.25 × 4,316,510.25
  4. Step 4: Simplify right side
    1,847,464.50x = 18,632,260,738,355.06
  5. Step 5: Solve for x
    x = 18,632,260,738,355.06/1,847,464.50
  6. Step 6: Final answer
    x = 10,085,314.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.