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Finding the Third Proportional to 840,235 and 1,291,501

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Solution

The third proportional to 840,235 and 1,291,501 is: 1,985,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,235 : 1,291,501 = 1,291,501 : x
  2. Step 2: Convert to fraction form
    840,235/1,291,501 = 1,291,501/x
  3. Step 3: Cross multiply
    840,235x = 1,291,501 × 1,291,501
  4. Step 4: Simplify right side
    840,235x = 1,667,974,833,001
  5. Step 5: Solve for x
    x = 1,667,974,833,001/840,235
  6. Step 6: Final answer
    x = 1,985,128.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.