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Finding the Third Proportional to 972,380 and 1,471,988

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Solution

The third proportional to 972,380 and 1,471,988 is: 2,228,294.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,380 : 1,471,988 = 1,471,988 : x
  2. Step 2: Convert to fraction form
    972,380/1,471,988 = 1,471,988/x
  3. Step 3: Cross multiply
    972,380x = 1,471,988 × 1,471,988
  4. Step 4: Simplify right side
    972,380x = 2,166,748,672,144
  5. Step 5: Solve for x
    x = 2,166,748,672,144/972,380
  6. Step 6: Final answer
    x = 2,228,294.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.