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Finding the Third Proportional to 996,486 and 1,547,227

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Solution

The third proportional to 996,486 and 1,547,227 is: 2,402,353.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,486 : 1,547,227 = 1,547,227 : x
  2. Step 2: Convert to fraction form
    996,486/1,547,227 = 1,547,227/x
  3. Step 3: Cross multiply
    996,486x = 1,547,227 × 1,547,227
  4. Step 4: Simplify right side
    996,486x = 2,393,911,389,529
  5. Step 5: Solve for x
    x = 2,393,911,389,529/996,486
  6. Step 6: Final answer
    x = 2,402,353.26

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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.