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Finding the Third Proportional to 532,820 and 1,141,640

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Solution

The third proportional to 532,820 and 1,141,640 is: 2,446,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,820 : 1,141,640 = 1,141,640 : x
  2. Step 2: Convert to fraction form
    532,820/1,141,640 = 1,141,640/x
  3. Step 3: Cross multiply
    532,820x = 1,141,640 × 1,141,640
  4. Step 4: Simplify right side
    532,820x = 1,303,341,889,600
  5. Step 5: Solve for x
    x = 1,303,341,889,600/532,820
  6. Step 6: Final answer
    x = 2,446,120.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.