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Finding the Third Proportional to 963,000 and 2,050,412

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Solution

The third proportional to 963,000 and 2,050,412 is: 4,365,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,000 : 2,050,412 = 2,050,412 : x
  2. Step 2: Convert to fraction form
    963,000/2,050,412 = 2,050,412/x
  3. Step 3: Cross multiply
    963,000x = 2,050,412 × 2,050,412
  4. Step 4: Simplify right side
    963,000x = 4,204,189,369,744
  5. Step 5: Solve for x
    x = 4,204,189,369,744/963,000
  6. Step 6: Final answer
    x = 4,365,721.05

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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.