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Finding the Third Proportional to 749,972 and 1,617,808

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Solution

The third proportional to 749,972 and 1,617,808 is: 3,489,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,972 : 1,617,808 = 1,617,808 : x
  2. Step 2: Convert to fraction form
    749,972/1,617,808 = 1,617,808/x
  3. Step 3: Cross multiply
    749,972x = 1,617,808 × 1,617,808
  4. Step 4: Simplify right side
    749,972x = 2,617,302,724,864
  5. Step 5: Solve for x
    x = 2,617,302,724,864/749,972
  6. Step 6: Final answer
    x = 3,489,867.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.