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Finding the Third Proportional to 972,226 and 1,521,664

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Solution

The third proportional to 972,226 and 1,521,664 is: 2,381,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,226 : 1,521,664 = 1,521,664 : x
  2. Step 2: Convert to fraction form
    972,226/1,521,664 = 1,521,664/x
  3. Step 3: Cross multiply
    972,226x = 1,521,664 × 1,521,664
  4. Step 4: Simplify right side
    972,226x = 2,315,461,328,896
  5. Step 5: Solve for x
    x = 2,315,461,328,896/972,226
  6. Step 6: Final answer
    x = 2,381,608.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.