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Finding the Third Proportional to 712,224 and 1,681,272

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Solution

The third proportional to 712,224 and 1,681,272 is: 3,968,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,224 : 1,681,272 = 1,681,272 : x
  2. Step 2: Convert to fraction form
    712,224/1,681,272 = 1,681,272/x
  3. Step 3: Cross multiply
    712,224x = 1,681,272 × 1,681,272
  4. Step 4: Simplify right side
    712,224x = 2,826,675,537,984
  5. Step 5: Solve for x
    x = 2,826,675,537,984/712,224
  6. Step 6: Final answer
    x = 3,968,801.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.