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Finding the Third Proportional to 970,681 and 2,109,092

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Solution

The third proportional to 970,681 and 2,109,092 is: 4,582,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,681 : 2,109,092 = 2,109,092 : x
  2. Step 2: Convert to fraction form
    970,681/2,109,092 = 2,109,092/x
  3. Step 3: Cross multiply
    970,681x = 2,109,092 × 2,109,092
  4. Step 4: Simplify right side
    970,681x = 4,448,269,064,464
  5. Step 5: Solve for x
    x = 4,448,269,064,464/970,681
  6. Step 6: Final answer
    x = 4,582,627.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.