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Finding the Third Proportional to 449,160 and 960,548

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Solution

The third proportional to 449,160 and 960,548 is: 2,054,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,160 : 960,548 = 960,548 : x
  2. Step 2: Convert to fraction form
    449,160/960,548 = 960,548/x
  3. Step 3: Cross multiply
    449,160x = 960,548 × 960,548
  4. Step 4: Simplify right side
    449,160x = 922,652,460,304
  5. Step 5: Solve for x
    x = 922,652,460,304/449,160
  6. Step 6: Final answer
    x = 2,054,173.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.