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Finding the Third Proportional to 985,242 and 2,132,414

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Solution

The third proportional to 985,242 and 2,132,414 is: 4,615,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,242 : 2,132,414 = 2,132,414 : x
  2. Step 2: Convert to fraction form
    985,242/2,132,414 = 2,132,414/x
  3. Step 3: Cross multiply
    985,242x = 2,132,414 × 2,132,414
  4. Step 4: Simplify right side
    985,242x = 4,547,189,467,396
  5. Step 5: Solve for x
    x = 4,547,189,467,396/985,242
  6. Step 6: Final answer
    x = 4,615,302.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.