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Finding the Third Proportional to 847,280 and 1,251,208

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Solution

The third proportional to 847,280 and 1,251,208 is: 1,847,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,280 : 1,251,208 = 1,251,208 : x
  2. Step 2: Convert to fraction form
    847,280/1,251,208 = 1,251,208/x
  3. Step 3: Cross multiply
    847,280x = 1,251,208 × 1,251,208
  4. Step 4: Simplify right side
    847,280x = 1,565,521,459,264
  5. Step 5: Solve for x
    x = 1,565,521,459,264/847,280
  6. Step 6: Final answer
    x = 1,847,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.