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Finding the Third Proportional to 970,914 and 1,507,494

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Solution

The third proportional to 970,914 and 1,507,494 is: 2,340,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,914 : 1,507,494 = 1,507,494 : x
  2. Step 2: Convert to fraction form
    970,914/1,507,494 = 1,507,494/x
  3. Step 3: Cross multiply
    970,914x = 1,507,494 × 1,507,494
  4. Step 4: Simplify right side
    970,914x = 2,272,538,160,036
  5. Step 5: Solve for x
    x = 2,272,538,160,036/970,914
  6. Step 6: Final answer
    x = 2,340,617.36

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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.