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Finding the Third Proportional to 803,865 and 1,244,144

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Solution

The third proportional to 803,865 and 1,244,144 is: 1,925,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,865 : 1,244,144 = 1,244,144 : x
  2. Step 2: Convert to fraction form
    803,865/1,244,144 = 1,244,144/x
  3. Step 3: Cross multiply
    803,865x = 1,244,144 × 1,244,144
  4. Step 4: Simplify right side
    803,865x = 1,547,894,292,736
  5. Step 5: Solve for x
    x = 1,547,894,292,736/803,865
  6. Step 6: Final answer
    x = 1,925,564.98

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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.