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Finding the Third Proportional to 972,288 and 1,492,480

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Solution

The third proportional to 972,288 and 1,492,480 is: 2,290,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,288 : 1,492,480 = 1,492,480 : x
  2. Step 2: Convert to fraction form
    972,288/1,492,480 = 1,492,480/x
  3. Step 3: Cross multiply
    972,288x = 1,492,480 × 1,492,480
  4. Step 4: Simplify right side
    972,288x = 2,227,496,550,400
  5. Step 5: Solve for x
    x = 2,227,496,550,400/972,288
  6. Step 6: Final answer
    x = 2,290,984.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.