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Finding the Third Proportional to 904,173 and 1,227,946.50

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Solution

The third proportional to 904,173 and 1,227,946.50 is: 1,667,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,173 : 1,227,946.50 = 1,227,946.50 : x
  2. Step 2: Convert to fraction form
    904,173/1,227,946.50 = 1,227,946.50/x
  3. Step 3: Cross multiply
    904,173x = 1,227,946.50 × 1,227,946.50
  4. Step 4: Simplify right side
    904,173x = 1,507,852,606,862.25
  5. Step 5: Solve for x
    x = 1,507,852,606,862.25/904,173
  6. Step 6: Final answer
    x = 1,667,659.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.