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Finding the Third Proportional to 803,192 and 1,244,352

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Solution

The third proportional to 803,192 and 1,244,352 is: 1,927,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,192 : 1,244,352 = 1,244,352 : x
  2. Step 2: Convert to fraction form
    803,192/1,244,352 = 1,244,352/x
  3. Step 3: Cross multiply
    803,192x = 1,244,352 × 1,244,352
  4. Step 4: Simplify right side
    803,192x = 1,548,411,899,904
  5. Step 5: Solve for x
    x = 1,548,411,899,904/803,192
  6. Step 6: Final answer
    x = 1,927,822.86

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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.