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Finding the Third Proportional to 970,927 and 1,507,511

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Solution

The third proportional to 970,927 and 1,507,511 is: 2,340,638.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,927 : 1,507,511 = 1,507,511 : x
  2. Step 2: Convert to fraction form
    970,927/1,507,511 = 1,507,511/x
  3. Step 3: Cross multiply
    970,927x = 1,507,511 × 1,507,511
  4. Step 4: Simplify right side
    970,927x = 2,272,589,415,121
  5. Step 5: Solve for x
    x = 2,272,589,415,121/970,927
  6. Step 6: Final answer
    x = 2,340,638.81

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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.