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Finding the Third Proportional to 929,280 and 1,366,701

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Solution

The third proportional to 929,280 and 1,366,701 is: 2,010,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,280 : 1,366,701 = 1,366,701 : x
  2. Step 2: Convert to fraction form
    929,280/1,366,701 = 1,366,701/x
  3. Step 3: Cross multiply
    929,280x = 1,366,701 × 1,366,701
  4. Step 4: Simplify right side
    929,280x = 1,867,871,623,401
  5. Step 5: Solve for x
    x = 1,867,871,623,401/929,280
  6. Step 6: Final answer
    x = 2,010,020.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.