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Finding the Third Proportional to 970,859 and 2,128,342

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Solution

The third proportional to 970,859 and 2,128,342 is: 4,665,805.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,859 : 2,128,342 = 2,128,342 : x
  2. Step 2: Convert to fraction form
    970,859/2,128,342 = 2,128,342/x
  3. Step 3: Cross multiply
    970,859x = 2,128,342 × 2,128,342
  4. Step 4: Simplify right side
    970,859x = 4,529,839,668,964
  5. Step 5: Solve for x
    x = 4,529,839,668,964/970,859
  6. Step 6: Final answer
    x = 4,665,805.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.