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Finding the Third Proportional to 1,001,496 and 1,364,004

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Solution

The third proportional to 1,001,496 and 1,364,004 is: 1,857,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001,496 : 1,364,004 = 1,364,004 : x
  2. Step 2: Convert to fraction form
    1,001,496/1,364,004 = 1,364,004/x
  3. Step 3: Cross multiply
    1,001,496x = 1,364,004 × 1,364,004
  4. Step 4: Simplify right side
    1,001,496x = 1,860,506,912,016
  5. Step 5: Solve for x
    x = 1,860,506,912,016/1,001,496
  6. Step 6: Final answer
    x = 1,857,727.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.