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Finding the Third Proportional to 446,808 and 956,688

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Solution

The third proportional to 446,808 and 956,688 is: 2,048,423.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,808 : 956,688 = 956,688 : x
  2. Step 2: Convert to fraction form
    446,808/956,688 = 956,688/x
  3. Step 3: Cross multiply
    446,808x = 956,688 × 956,688
  4. Step 4: Simplify right side
    446,808x = 915,251,929,344
  5. Step 5: Solve for x
    x = 915,251,929,344/446,808
  6. Step 6: Final answer
    x = 2,048,423.33

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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.