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Finding the Third Proportional to 433,911 and 934,424.25

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Solution

The third proportional to 433,911 and 934,424.25 is: 2,012,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,911 : 934,424.25 = 934,424.25 : x
  2. Step 2: Convert to fraction form
    433,911/934,424.25 = 934,424.25/x
  3. Step 3: Cross multiply
    433,911x = 934,424.25 × 934,424.25
  4. Step 4: Simplify right side
    433,911x = 873,148,678,988.06
  5. Step 5: Solve for x
    x = 873,148,678,988.06/433,911
  6. Step 6: Final answer
    x = 2,012,275.97

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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.