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Finding the Third Proportional to 446,808 and 972,402

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Solution

The third proportional to 446,808 and 972,402 is: 2,116,268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,808 : 972,402 = 972,402 : x
  2. Step 2: Convert to fraction form
    446,808/972,402 = 972,402/x
  3. Step 3: Cross multiply
    446,808x = 972,402 × 972,402
  4. Step 4: Simplify right side
    446,808x = 945,565,649,604
  5. Step 5: Solve for x
    x = 945,565,649,604/446,808
  6. Step 6: Final answer
    x = 2,116,268.40

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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.