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Finding the Third Proportional to 809,248 and 1,250,376

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Solution

The third proportional to 809,248 and 1,250,376 is: 1,931,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,248 : 1,250,376 = 1,250,376 : x
  2. Step 2: Convert to fraction form
    809,248/1,250,376 = 1,250,376/x
  3. Step 3: Cross multiply
    809,248x = 1,250,376 × 1,250,376
  4. Step 4: Simplify right side
    809,248x = 1,563,440,141,376
  5. Step 5: Solve for x
    x = 1,563,440,141,376/809,248
  6. Step 6: Final answer
    x = 1,931,966.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.