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Finding the Third Proportional to 714,634 and 1,569,248

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Solution

The third proportional to 714,634 and 1,569,248 is: 3,445,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,634 : 1,569,248 = 1,569,248 : x
  2. Step 2: Convert to fraction form
    714,634/1,569,248 = 1,569,248/x
  3. Step 3: Cross multiply
    714,634x = 1,569,248 × 1,569,248
  4. Step 4: Simplify right side
    714,634x = 2,462,539,285,504
  5. Step 5: Solve for x
    x = 2,462,539,285,504/714,634
  6. Step 6: Final answer
    x = 3,445,874.79

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Why These Related Problems?

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