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Finding the Third Proportional to 679,970 and 1,000,164

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Solution

The third proportional to 679,970 and 1,000,164 is: 1,471,135.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,970 : 1,000,164 = 1,000,164 : x
  2. Step 2: Convert to fraction form
    679,970/1,000,164 = 1,000,164/x
  3. Step 3: Cross multiply
    679,970x = 1,000,164 × 1,000,164
  4. Step 4: Simplify right side
    679,970x = 1,000,328,026,896
  5. Step 5: Solve for x
    x = 1,000,328,026,896/679,970
  6. Step 6: Final answer
    x = 1,471,135.53

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