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Finding the Third Proportional to 714,642 and 1,569,264

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Solution

The third proportional to 714,642 and 1,569,264 is: 3,445,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,642 : 1,569,264 = 1,569,264 : x
  2. Step 2: Convert to fraction form
    714,642/1,569,264 = 1,569,264/x
  3. Step 3: Cross multiply
    714,642x = 1,569,264 × 1,569,264
  4. Step 4: Simplify right side
    714,642x = 2,462,589,501,696
  5. Step 5: Solve for x
    x = 2,462,589,501,696/714,642
  6. Step 6: Final answer
    x = 3,445,906.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.