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Finding the Third Proportional to 1,961,475 and 4,232,592

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Solution

The third proportional to 1,961,475 and 4,232,592 is: 9,133,348.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,475 : 4,232,592 = 4,232,592 : x
  2. Step 2: Convert to fraction form
    1,961,475/4,232,592 = 4,232,592/x
  3. Step 3: Cross multiply
    1,961,475x = 4,232,592 × 4,232,592
  4. Step 4: Simplify right side
    1,961,475x = 17,914,835,038,464
  5. Step 5: Solve for x
    x = 17,914,835,038,464/1,961,475
  6. Step 6: Final answer
    x = 9,133,348.65

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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.