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Finding the Third Proportional to 712,896 and 1,532,928

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Solution

The third proportional to 712,896 and 1,532,928 is: 3,296,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,896 : 1,532,928 = 1,532,928 : x
  2. Step 2: Convert to fraction form
    712,896/1,532,928 = 1,532,928/x
  3. Step 3: Cross multiply
    712,896x = 1,532,928 × 1,532,928
  4. Step 4: Simplify right side
    712,896x = 2,349,868,253,184
  5. Step 5: Solve for x
    x = 2,349,868,253,184/712,896
  6. Step 6: Final answer
    x = 3,296,228.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.