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Finding the Third Proportional to 450,560 and 956,160

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Solution

The third proportional to 450,560 and 956,160 is: 2,029,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,560 : 956,160 = 956,160 : x
  2. Step 2: Convert to fraction form
    450,560/956,160 = 956,160/x
  3. Step 3: Cross multiply
    450,560x = 956,160 × 956,160
  4. Step 4: Simplify right side
    450,560x = 914,241,945,600
  5. Step 5: Solve for x
    x = 914,241,945,600/450,560
  6. Step 6: Final answer
    x = 2,029,123.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.