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Finding the Third Proportional to 972,860 and 1,554,142

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Solution

The third proportional to 972,860 and 1,554,142 is: 2,482,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,860 : 1,554,142 = 1,554,142 : x
  2. Step 2: Convert to fraction form
    972,860/1,554,142 = 1,554,142/x
  3. Step 3: Cross multiply
    972,860x = 1,554,142 × 1,554,142
  4. Step 4: Simplify right side
    972,860x = 2,415,357,356,164
  5. Step 5: Solve for x
    x = 2,415,357,356,164/972,860
  6. Step 6: Final answer
    x = 2,482,738.89

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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.