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Finding the Third Proportional to 713,136 and 1,681,757

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Solution

The third proportional to 713,136 and 1,681,757 is: 3,966,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,136 : 1,681,757 = 1,681,757 : x
  2. Step 2: Convert to fraction form
    713,136/1,681,757 = 1,681,757/x
  3. Step 3: Cross multiply
    713,136x = 1,681,757 × 1,681,757
  4. Step 4: Simplify right side
    713,136x = 2,828,306,607,049
  5. Step 5: Solve for x
    x = 2,828,306,607,049/713,136
  6. Step 6: Final answer
    x = 3,966,012.94

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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.