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Finding the Third Proportional to 460,012.50 and 990,009

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Solution

The third proportional to 460,012.50 and 990,009 is: 2,130,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,012.50 : 990,009 = 990,009 : x
  2. Step 2: Convert to fraction form
    460,012.50/990,009 = 990,009/x
  3. Step 3: Cross multiply
    460,012.50x = 990,009 × 990,009
  4. Step 4: Simplify right side
    460,012.50x = 980,117,820,081
  5. Step 5: Solve for x
    x = 980,117,820,081/460,012.50
  6. Step 6: Final answer
    x = 2,130,633.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.