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Finding the Third Proportional to 727,548 and 1,587,252

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Solution

The third proportional to 727,548 and 1,587,252 is: 3,462,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,548 : 1,587,252 = 1,587,252 : x
  2. Step 2: Convert to fraction form
    727,548/1,587,252 = 1,587,252/x
  3. Step 3: Cross multiply
    727,548x = 1,587,252 × 1,587,252
  4. Step 4: Simplify right side
    727,548x = 2,519,368,911,504
  5. Step 5: Solve for x
    x = 2,519,368,911,504/727,548
  6. Step 6: Final answer
    x = 3,462,821.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.