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Finding the Third Proportional to 712,425 and 1,512,291

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Solution

The third proportional to 712,425 and 1,512,291 is: 3,210,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,425 : 1,512,291 = 1,512,291 : x
  2. Step 2: Convert to fraction form
    712,425/1,512,291 = 1,512,291/x
  3. Step 3: Cross multiply
    712,425x = 1,512,291 × 1,512,291
  4. Step 4: Simplify right side
    712,425x = 2,287,024,068,681
  5. Step 5: Solve for x
    x = 2,287,024,068,681/712,425
  6. Step 6: Final answer
    x = 3,210,196.26

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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.