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Finding the Third Proportional to 783,871 and 1,145,559

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Solution

The third proportional to 783,871 and 1,145,559 is: 1,674,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,871 : 1,145,559 = 1,145,559 : x
  2. Step 2: Convert to fraction form
    783,871/1,145,559 = 1,145,559/x
  3. Step 3: Cross multiply
    783,871x = 1,145,559 × 1,145,559
  4. Step 4: Simplify right side
    783,871x = 1,312,305,422,481
  5. Step 5: Solve for x
    x = 1,312,305,422,481/783,871
  6. Step 6: Final answer
    x = 1,674,134.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.