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Finding the Third Proportional to 633,969 and 1,495,032

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Solution

The third proportional to 633,969 and 1,495,032 is: 3,525,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,969 : 1,495,032 = 1,495,032 : x
  2. Step 2: Convert to fraction form
    633,969/1,495,032 = 1,495,032/x
  3. Step 3: Cross multiply
    633,969x = 1,495,032 × 1,495,032
  4. Step 4: Simplify right side
    633,969x = 2,235,120,681,024
  5. Step 5: Solve for x
    x = 2,235,120,681,024/633,969
  6. Step 6: Final answer
    x = 3,525,599.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.