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Finding the Third Proportional to 988,576 and 2,158,376

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Solution

The third proportional to 988,576 and 2,158,376 is: 4,712,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,576 : 2,158,376 = 2,158,376 : x
  2. Step 2: Convert to fraction form
    988,576/2,158,376 = 2,158,376/x
  3. Step 3: Cross multiply
    988,576x = 2,158,376 × 2,158,376
  4. Step 4: Simplify right side
    988,576x = 4,658,586,957,376
  5. Step 5: Solve for x
    x = 4,658,586,957,376/988,576
  6. Step 6: Final answer
    x = 4,712,421.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.