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Finding the Third Proportional to 714,578 and 1,569,124

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Solution

The third proportional to 714,578 and 1,569,124 is: 3,445,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,578 : 1,569,124 = 1,569,124 : x
  2. Step 2: Convert to fraction form
    714,578/1,569,124 = 1,569,124/x
  3. Step 3: Cross multiply
    714,578x = 1,569,124 × 1,569,124
  4. Step 4: Simplify right side
    714,578x = 2,462,150,127,376
  5. Step 5: Solve for x
    x = 2,462,150,127,376/714,578
  6. Step 6: Final answer
    x = 3,445,600.24

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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.