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Finding the Third Proportional to 882,416 and 1,242,624

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Solution

The third proportional to 882,416 and 1,242,624 is: 1,749,871.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    882,416 : 1,242,624 = 1,242,624 : x
  2. Step 2: Convert to fraction form
    882,416/1,242,624 = 1,242,624/x
  3. Step 3: Cross multiply
    882,416x = 1,242,624 × 1,242,624
  4. Step 4: Simplify right side
    882,416x = 1,544,114,405,376
  5. Step 5: Solve for x
    x = 1,544,114,405,376/882,416
  6. Step 6: Final answer
    x = 1,749,871.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.