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Finding the Third Proportional to 665,010 and 1,004,499

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Solution

The third proportional to 665,010 and 1,004,499 is: 1,517,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,010 : 1,004,499 = 1,004,499 : x
  2. Step 2: Convert to fraction form
    665,010/1,004,499 = 1,004,499/x
  3. Step 3: Cross multiply
    665,010x = 1,004,499 × 1,004,499
  4. Step 4: Simplify right side
    665,010x = 1,009,018,241,001
  5. Step 5: Solve for x
    x = 1,009,018,241,001/665,010
  6. Step 6: Final answer
    x = 1,517,297.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.