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Finding the Third Proportional to 934,294 and 2,043,072

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Solution

The third proportional to 934,294 and 2,043,072 is: 4,467,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,294 : 2,043,072 = 2,043,072 : x
  2. Step 2: Convert to fraction form
    934,294/2,043,072 = 2,043,072/x
  3. Step 3: Cross multiply
    934,294x = 2,043,072 × 2,043,072
  4. Step 4: Simplify right side
    934,294x = 4,174,143,197,184
  5. Step 5: Solve for x
    x = 4,174,143,197,184/934,294
  6. Step 6: Final answer
    x = 4,467,697.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.