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Finding the Third Proportional to 502,056 and 1,085,688

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Solution

The third proportional to 502,056 and 1,085,688 is: 2,347,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,056 : 1,085,688 = 1,085,688 : x
  2. Step 2: Convert to fraction form
    502,056/1,085,688 = 1,085,688/x
  3. Step 3: Cross multiply
    502,056x = 1,085,688 × 1,085,688
  4. Step 4: Simplify right side
    502,056x = 1,178,718,433,344
  5. Step 5: Solve for x
    x = 1,178,718,433,344/502,056
  6. Step 6: Final answer
    x = 2,347,782.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.