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Finding the Third Proportional to 656,424 and 1,545,480

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Solution

The third proportional to 656,424 and 1,545,480 is: 3,638,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,424 : 1,545,480 = 1,545,480 : x
  2. Step 2: Convert to fraction form
    656,424/1,545,480 = 1,545,480/x
  3. Step 3: Cross multiply
    656,424x = 1,545,480 × 1,545,480
  4. Step 4: Simplify right side
    656,424x = 2,388,508,430,400
  5. Step 5: Solve for x
    x = 2,388,508,430,400/656,424
  6. Step 6: Final answer
    x = 3,638,667.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.