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Finding the Third Proportional to 720,407 and 1,567,662

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Solution

The third proportional to 720,407 and 1,567,662 is: 3,411,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,407 : 1,567,662 = 1,567,662 : x
  2. Step 2: Convert to fraction form
    720,407/1,567,662 = 1,567,662/x
  3. Step 3: Cross multiply
    720,407x = 1,567,662 × 1,567,662
  4. Step 4: Simplify right side
    720,407x = 2,457,564,146,244
  5. Step 5: Solve for x
    x = 2,457,564,146,244/720,407
  6. Step 6: Final answer
    x = 3,411,355.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.