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Finding the Third Proportional to 972,728 and 1,553,946

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Solution

The third proportional to 972,728 and 1,553,946 is: 2,482,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,728 : 1,553,946 = 1,553,946 : x
  2. Step 2: Convert to fraction form
    972,728/1,553,946 = 1,553,946/x
  3. Step 3: Cross multiply
    972,728x = 1,553,946 × 1,553,946
  4. Step 4: Simplify right side
    972,728x = 2,414,748,170,916
  5. Step 5: Solve for x
    x = 2,414,748,170,916/972,728
  6. Step 6: Final answer
    x = 2,482,449.53

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.