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Finding the Third Proportional to 668,835 and 1,010,383

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Solution

The third proportional to 668,835 and 1,010,383 is: 1,526,346.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,835 : 1,010,383 = 1,010,383 : x
  2. Step 2: Convert to fraction form
    668,835/1,010,383 = 1,010,383/x
  3. Step 3: Cross multiply
    668,835x = 1,010,383 × 1,010,383
  4. Step 4: Simplify right side
    668,835x = 1,020,873,806,689
  5. Step 5: Solve for x
    x = 1,020,873,806,689/668,835
  6. Step 6: Final answer
    x = 1,526,346.27

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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.