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Finding the Third Proportional to 654,320 and 1,411,749

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Solution

The third proportional to 654,320 and 1,411,749 is: 3,045,964.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,320 : 1,411,749 = 1,411,749 : x
  2. Step 2: Convert to fraction form
    654,320/1,411,749 = 1,411,749/x
  3. Step 3: Cross multiply
    654,320x = 1,411,749 × 1,411,749
  4. Step 4: Simplify right side
    654,320x = 1,993,035,239,001
  5. Step 5: Solve for x
    x = 1,993,035,239,001/654,320
  6. Step 6: Final answer
    x = 3,045,964.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.