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Finding the Third Proportional to 440,415 and 938,513.25

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Solution

The third proportional to 440,415 and 938,513.25 is: 1,999,948.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,415 : 938,513.25 = 938,513.25 : x
  2. Step 2: Convert to fraction form
    440,415/938,513.25 = 938,513.25/x
  3. Step 3: Cross multiply
    440,415x = 938,513.25 × 938,513.25
  4. Step 4: Simplify right side
    440,415x = 880,807,120,425.56
  5. Step 5: Solve for x
    x = 880,807,120,425.56/440,415
  6. Step 6: Final answer
    x = 1,999,948.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.