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Finding the Third Proportional to 992,172 and 1,576,872

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Solution

The third proportional to 992,172 and 1,576,872 is: 2,506,143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,172 : 1,576,872 = 1,576,872 : x
  2. Step 2: Convert to fraction form
    992,172/1,576,872 = 1,576,872/x
  3. Step 3: Cross multiply
    992,172x = 1,576,872 × 1,576,872
  4. Step 4: Simplify right side
    992,172x = 2,486,525,304,384
  5. Step 5: Solve for x
    x = 2,486,525,304,384/992,172
  6. Step 6: Final answer
    x = 2,506,143.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.