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Finding the Third Proportional to 945,819 and 1,415,272.50

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Solution

The third proportional to 945,819 and 1,415,272.50 is: 2,117,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,819 : 1,415,272.50 = 1,415,272.50 : x
  2. Step 2: Convert to fraction form
    945,819/1,415,272.50 = 1,415,272.50/x
  3. Step 3: Cross multiply
    945,819x = 1,415,272.50 × 1,415,272.50
  4. Step 4: Simplify right side
    945,819x = 2,002,996,249,256.25
  5. Step 5: Solve for x
    x = 2,002,996,249,256.25/945,819
  6. Step 6: Final answer
    x = 2,117,737.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.