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Finding the Third Proportional to 623,475 and 1,004,063

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Solution

The third proportional to 623,475 and 1,004,063 is: 1,616,973.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,475 : 1,004,063 = 1,004,063 : x
  2. Step 2: Convert to fraction form
    623,475/1,004,063 = 1,004,063/x
  3. Step 3: Cross multiply
    623,475x = 1,004,063 × 1,004,063
  4. Step 4: Simplify right side
    623,475x = 1,008,142,507,969
  5. Step 5: Solve for x
    x = 1,008,142,507,969/623,475
  6. Step 6: Final answer
    x = 1,616,973.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.