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Finding the Third Proportional to 963,507 and 2,075,001

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Solution

The third proportional to 963,507 and 2,075,001 is: 4,468,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,507 : 2,075,001 = 2,075,001 : x
  2. Step 2: Convert to fraction form
    963,507/2,075,001 = 2,075,001/x
  3. Step 3: Cross multiply
    963,507x = 2,075,001 × 2,075,001
  4. Step 4: Simplify right side
    963,507x = 4,305,629,150,001
  5. Step 5: Solve for x
    x = 4,305,629,150,001/963,507
  6. Step 6: Final answer
    x = 4,468,705.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.