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Finding the Third Proportional to 675,010 and 985,862

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Solution

The third proportional to 675,010 and 985,862 is: 1,439,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,010 : 985,862 = 985,862 : x
  2. Step 2: Convert to fraction form
    675,010/985,862 = 985,862/x
  3. Step 3: Cross multiply
    675,010x = 985,862 × 985,862
  4. Step 4: Simplify right side
    675,010x = 971,923,883,044
  5. Step 5: Solve for x
    x = 971,923,883,044/675,010
  6. Step 6: Final answer
    x = 1,439,865.90

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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.