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Finding the Third Proportional to 546,570 and 1,276,585

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Solution

The third proportional to 546,570 and 1,276,585 is: 2,981,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,570 : 1,276,585 = 1,276,585 : x
  2. Step 2: Convert to fraction form
    546,570/1,276,585 = 1,276,585/x
  3. Step 3: Cross multiply
    546,570x = 1,276,585 × 1,276,585
  4. Step 4: Simplify right side
    546,570x = 1,629,669,262,225
  5. Step 5: Solve for x
    x = 1,629,669,262,225/546,570
  6. Step 6: Final answer
    x = 2,981,629.55

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.