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Finding the Third Proportional to 970,922 and 1,507,503

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Solution

The third proportional to 970,922 and 1,507,503 is: 2,340,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,922 : 1,507,503 = 1,507,503 : x
  2. Step 2: Convert to fraction form
    970,922/1,507,503 = 1,507,503/x
  3. Step 3: Cross multiply
    970,922x = 1,507,503 × 1,507,503
  4. Step 4: Simplify right side
    970,922x = 2,272,565,295,009
  5. Step 5: Solve for x
    x = 2,272,565,295,009/970,922
  6. Step 6: Final answer
    x = 2,340,626.02

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Why These Related Problems?

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