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Finding the Third Proportional to 440,973 and 934,934.25

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Solution

The third proportional to 440,973 and 934,934.25 is: 1,982,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,973 : 934,934.25 = 934,934.25 : x
  2. Step 2: Convert to fraction form
    440,973/934,934.25 = 934,934.25/x
  3. Step 3: Cross multiply
    440,973x = 934,934.25 × 934,934.25
  4. Step 4: Simplify right side
    440,973x = 874,102,051,823.06
  5. Step 5: Solve for x
    x = 874,102,051,823.06/440,973
  6. Step 6: Final answer
    x = 1,982,212.18

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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.