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Finding the Third Proportional to 970,945.50 and 1,507,538.25

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Solution

The third proportional to 970,945.50 and 1,507,538.25 is: 2,340,678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,945.50 : 1,507,538.25 = 1,507,538.25 : x
  2. Step 2: Convert to fraction form
    970,945.50/1,507,538.25 = 1,507,538.25/x
  3. Step 3: Cross multiply
    970,945.50x = 1,507,538.25 × 1,507,538.25
  4. Step 4: Simplify right side
    970,945.50x = 2,272,671,575,213.06
  5. Step 5: Solve for x
    x = 2,272,671,575,213.06/970,945.50
  6. Step 6: Final answer
    x = 2,340,678.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.