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Finding the Third Proportional to 665,643 and 1,457,998

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Solution

The third proportional to 665,643 and 1,457,998 is: 3,193,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,643 : 1,457,998 = 1,457,998 : x
  2. Step 2: Convert to fraction form
    665,643/1,457,998 = 1,457,998/x
  3. Step 3: Cross multiply
    665,643x = 1,457,998 × 1,457,998
  4. Step 4: Simplify right side
    665,643x = 2,125,758,168,004
  5. Step 5: Solve for x
    x = 2,125,758,168,004/665,643
  6. Step 6: Final answer
    x = 3,193,540.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.