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Finding the Third Proportional to 641,984 and 1,355,590

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Solution

The third proportional to 641,984 and 1,355,590 is: 2,862,414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,984 : 1,355,590 = 1,355,590 : x
  2. Step 2: Convert to fraction form
    641,984/1,355,590 = 1,355,590/x
  3. Step 3: Cross multiply
    641,984x = 1,355,590 × 1,355,590
  4. Step 4: Simplify right side
    641,984x = 1,837,624,248,100
  5. Step 5: Solve for x
    x = 1,837,624,248,100/641,984
  6. Step 6: Final answer
    x = 2,862,414.40

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.