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Finding the Third Proportional to 920,361 and 1,971,870

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Solution

The third proportional to 920,361 and 1,971,870 is: 4,224,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,361 : 1,971,870 = 1,971,870 : x
  2. Step 2: Convert to fraction form
    920,361/1,971,870 = 1,971,870/x
  3. Step 3: Cross multiply
    920,361x = 1,971,870 × 1,971,870
  4. Step 4: Simplify right side
    920,361x = 3,888,271,296,900
  5. Step 5: Solve for x
    x = 3,888,271,296,900/920,361
  6. Step 6: Final answer
    x = 4,224,724.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.