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Finding the Third Proportional to 438,582 and 960,921

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Solution

The third proportional to 438,582 and 960,921 is: 2,105,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,582 : 960,921 = 960,921 : x
  2. Step 2: Convert to fraction form
    438,582/960,921 = 960,921/x
  3. Step 3: Cross multiply
    438,582x = 960,921 × 960,921
  4. Step 4: Simplify right side
    438,582x = 923,369,168,241
  5. Step 5: Solve for x
    x = 923,369,168,241/438,582
  6. Step 6: Final answer
    x = 2,105,351.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.