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Finding the Third Proportional to 679,938 and 1,000,062

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Solution

The third proportional to 679,938 and 1,000,062 is: 1,470,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,938 : 1,000,062 = 1,000,062 : x
  2. Step 2: Convert to fraction form
    679,938/1,000,062 = 1,000,062/x
  3. Step 3: Cross multiply
    679,938x = 1,000,062 × 1,000,062
  4. Step 4: Simplify right side
    679,938x = 1,000,124,003,844
  5. Step 5: Solve for x
    x = 1,000,124,003,844/679,938
  6. Step 6: Final answer
    x = 1,470,904.71

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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.