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Finding the Third Proportional to 996,284 and 1,556,642

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Solution

The third proportional to 996,284 and 1,556,642 is: 2,432,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,284 : 1,556,642 = 1,556,642 : x
  2. Step 2: Convert to fraction form
    996,284/1,556,642 = 1,556,642/x
  3. Step 3: Cross multiply
    996,284x = 1,556,642 × 1,556,642
  4. Step 4: Simplify right side
    996,284x = 2,423,134,316,164
  5. Step 5: Solve for x
    x = 2,423,134,316,164/996,284
  6. Step 6: Final answer
    x = 2,432,172.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.