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Finding the Third Proportional to 440,730 and 954,732

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Solution

The third proportional to 440,730 and 954,732 is: 2,068,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,730 : 954,732 = 954,732 : x
  2. Step 2: Convert to fraction form
    440,730/954,732 = 954,732/x
  3. Step 3: Cross multiply
    440,730x = 954,732 × 954,732
  4. Step 4: Simplify right side
    440,730x = 911,513,191,824
  5. Step 5: Solve for x
    x = 911,513,191,824/440,730
  6. Step 6: Final answer
    x = 2,068,189.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.