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Finding the Third Proportional to 970,931 and 1,507,517

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Solution

The third proportional to 970,931 and 1,507,517 is: 2,340,647.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,931 : 1,507,517 = 1,507,517 : x
  2. Step 2: Convert to fraction form
    970,931/1,507,517 = 1,507,517/x
  3. Step 3: Cross multiply
    970,931x = 1,507,517 × 1,507,517
  4. Step 4: Simplify right side
    970,931x = 2,272,607,505,289
  5. Step 5: Solve for x
    x = 2,272,607,505,289/970,931
  6. Step 6: Final answer
    x = 2,340,647.80

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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.