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Finding the Third Proportional to 970,806 and 1,519,575

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Solution

The third proportional to 970,806 and 1,519,575 is: 2,378,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,806 : 1,519,575 = 1,519,575 : x
  2. Step 2: Convert to fraction form
    970,806/1,519,575 = 1,519,575/x
  3. Step 3: Cross multiply
    970,806x = 1,519,575 × 1,519,575
  4. Step 4: Simplify right side
    970,806x = 2,309,108,180,625
  5. Step 5: Solve for x
    x = 2,309,108,180,625/970,806
  6. Step 6: Final answer
    x = 2,378,547.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.