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Finding the Third Proportional to 972,238 and 1,521,681

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Solution

The third proportional to 972,238 and 1,521,681 is: 2,381,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,238 : 1,521,681 = 1,521,681 : x
  2. Step 2: Convert to fraction form
    972,238/1,521,681 = 1,521,681/x
  3. Step 3: Cross multiply
    972,238x = 1,521,681 × 1,521,681
  4. Step 4: Simplify right side
    972,238x = 2,315,513,065,761
  5. Step 5: Solve for x
    x = 2,315,513,065,761/972,238
  6. Step 6: Final answer
    x = 2,381,631.93

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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.