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Finding the Third Proportional to 684,088 and 1,485,008

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Solution

The third proportional to 684,088 and 1,485,008 is: 3,223,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,088 : 1,485,008 = 1,485,008 : x
  2. Step 2: Convert to fraction form
    684,088/1,485,008 = 1,485,008/x
  3. Step 3: Cross multiply
    684,088x = 1,485,008 × 1,485,008
  4. Step 4: Simplify right side
    684,088x = 2,205,248,760,064
  5. Step 5: Solve for x
    x = 2,205,248,760,064/684,088
  6. Step 6: Final answer
    x = 3,223,633.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.