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Finding the Third Proportional to 669,924 and 1,005,007.50

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Solution

The third proportional to 669,924 and 1,005,007.50 is: 1,507,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,924 : 1,005,007.50 = 1,005,007.50 : x
  2. Step 2: Convert to fraction form
    669,924/1,005,007.50 = 1,005,007.50/x
  3. Step 3: Cross multiply
    669,924x = 1,005,007.50 × 1,005,007.50
  4. Step 4: Simplify right side
    669,924x = 1,010,040,075,056.25
  5. Step 5: Solve for x
    x = 1,010,040,075,056.25/669,924
  6. Step 6: Final answer
    x = 1,507,693.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.