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Finding the Third Proportional to 712,433 and 1,512,307

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Solution

The third proportional to 712,433 and 1,512,307 is: 3,210,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,433 : 1,512,307 = 1,512,307 : x
  2. Step 2: Convert to fraction form
    712,433/1,512,307 = 1,512,307/x
  3. Step 3: Cross multiply
    712,433x = 1,512,307 × 1,512,307
  4. Step 4: Simplify right side
    712,433x = 2,287,072,462,249
  5. Step 5: Solve for x
    x = 2,287,072,462,249/712,433
  6. Step 6: Final answer
    x = 3,210,228.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.