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Finding the Third Proportional to 960,928 and 1,507,392

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Solution

The third proportional to 960,928 and 1,507,392 is: 2,364,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,928 : 1,507,392 = 1,507,392 : x
  2. Step 2: Convert to fraction form
    960,928/1,507,392 = 1,507,392/x
  3. Step 3: Cross multiply
    960,928x = 1,507,392 × 1,507,392
  4. Step 4: Simplify right side
    960,928x = 2,272,230,641,664
  5. Step 5: Solve for x
    x = 2,272,230,641,664/960,928
  6. Step 6: Final answer
    x = 2,364,621.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.