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Finding the Third Proportional to 713,135 and 1,681,733

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Solution

The third proportional to 713,135 and 1,681,733 is: 3,965,905.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,135 : 1,681,733 = 1,681,733 : x
  2. Step 2: Convert to fraction form
    713,135/1,681,733 = 1,681,733/x
  3. Step 3: Cross multiply
    713,135x = 1,681,733 × 1,681,733
  4. Step 4: Simplify right side
    713,135x = 2,828,225,883,289
  5. Step 5: Solve for x
    x = 2,828,225,883,289/713,135
  6. Step 6: Final answer
    x = 3,965,905.31

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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.