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Finding the Third Proportional to 885,309.75 and 1,298,607.19

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Solution

The third proportional to 885,309.75 and 1,298,607.19 is: 1,904,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    885,309.75 : 1,298,607.19 = 1,298,607.19 : x
  2. Step 2: Convert to fraction form
    885,309.75/1,298,607.19 = 1,298,607.19/x
  3. Step 3: Cross multiply
    885,309.75x = 1,298,607.19 × 1,298,607.19
  4. Step 4: Simplify right side
    885,309.75x = 1,686,380,627,426.66
  5. Step 5: Solve for x
    x = 1,686,380,627,426.66/885,309.75
  6. Step 6: Final answer
    x = 1,904,848.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.