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Finding the Third Proportional to 421,434 and 912,852

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Solution

The third proportional to 421,434 and 912,852 is: 1,977,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,434 : 912,852 = 912,852 : x
  2. Step 2: Convert to fraction form
    421,434/912,852 = 912,852/x
  3. Step 3: Cross multiply
    421,434x = 912,852 × 912,852
  4. Step 4: Simplify right side
    421,434x = 833,298,773,904
  5. Step 5: Solve for x
    x = 833,298,773,904/421,434
  6. Step 6: Final answer
    x = 1,977,293.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.