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Finding the Third Proportional to 975,234 and 1,294,029

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Solution

The third proportional to 975,234 and 1,294,029 is: 1,717,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,234 : 1,294,029 = 1,294,029 : x
  2. Step 2: Convert to fraction form
    975,234/1,294,029 = 1,294,029/x
  3. Step 3: Cross multiply
    975,234x = 1,294,029 × 1,294,029
  4. Step 4: Simplify right side
    975,234x = 1,674,511,052,841
  5. Step 5: Solve for x
    x = 1,674,511,052,841/975,234
  6. Step 6: Final answer
    x = 1,717,035.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.