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Finding the Third Proportional to 569,092.50 and 1,190,457

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Solution

The third proportional to 569,092.50 and 1,190,457 is: 2,490,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,092.50 : 1,190,457 = 1,190,457 : x
  2. Step 2: Convert to fraction form
    569,092.50/1,190,457 = 1,190,457/x
  3. Step 3: Cross multiply
    569,092.50x = 1,190,457 × 1,190,457
  4. Step 4: Simplify right side
    569,092.50x = 1,417,187,868,849
  5. Step 5: Solve for x
    x = 1,417,187,868,849/569,092.50
  6. Step 6: Final answer
    x = 2,490,259.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.