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Finding the Third Proportional to 713,182 and 1,681,859

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Solution

The third proportional to 713,182 and 1,681,859 is: 3,966,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,182 : 1,681,859 = 1,681,859 : x
  2. Step 2: Convert to fraction form
    713,182/1,681,859 = 1,681,859/x
  3. Step 3: Cross multiply
    713,182x = 1,681,859 × 1,681,859
  4. Step 4: Simplify right side
    713,182x = 2,828,649,695,881
  5. Step 5: Solve for x
    x = 2,828,649,695,881/713,182
  6. Step 6: Final answer
    x = 3,966,238.21

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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.