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Finding the Third Proportional to 802,248 and 1,269,792

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Solution

The third proportional to 802,248 and 1,269,792 is: 2,009,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,248 : 1,269,792 = 1,269,792 : x
  2. Step 2: Convert to fraction form
    802,248/1,269,792 = 1,269,792/x
  3. Step 3: Cross multiply
    802,248x = 1,269,792 × 1,269,792
  4. Step 4: Simplify right side
    802,248x = 1,612,371,723,264
  5. Step 5: Solve for x
    x = 1,612,371,723,264/802,248
  6. Step 6: Final answer
    x = 2,009,817.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.