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Finding the Third Proportional to 712,476 and 1,453,964

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Solution

The third proportional to 712,476 and 1,453,964 is: 2,967,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,476 : 1,453,964 = 1,453,964 : x
  2. Step 2: Convert to fraction form
    712,476/1,453,964 = 1,453,964/x
  3. Step 3: Cross multiply
    712,476x = 1,453,964 × 1,453,964
  4. Step 4: Simplify right side
    712,476x = 2,114,011,313,296
  5. Step 5: Solve for x
    x = 2,114,011,313,296/712,476
  6. Step 6: Final answer
    x = 2,967,133.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.