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Finding the Third Proportional to 510,516 and 1,125,360

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Solution

The third proportional to 510,516 and 1,125,360 is: 2,480,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,516 : 1,125,360 = 1,125,360 : x
  2. Step 2: Convert to fraction form
    510,516/1,125,360 = 1,125,360/x
  3. Step 3: Cross multiply
    510,516x = 1,125,360 × 1,125,360
  4. Step 4: Simplify right side
    510,516x = 1,266,435,129,600
  5. Step 5: Solve for x
    x = 1,266,435,129,600/510,516
  6. Step 6: Final answer
    x = 2,480,696.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.