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Finding the Third Proportional to 972,028 and 1,308,536

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Solution

The third proportional to 972,028 and 1,308,536 is: 1,761,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,028 : 1,308,536 = 1,308,536 : x
  2. Step 2: Convert to fraction form
    972,028/1,308,536 = 1,308,536/x
  3. Step 3: Cross multiply
    972,028x = 1,308,536 × 1,308,536
  4. Step 4: Simplify right side
    972,028x = 1,712,266,463,296
  5. Step 5: Solve for x
    x = 1,712,266,463,296/972,028
  6. Step 6: Final answer
    x = 1,761,540.27

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.