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Finding the Third Proportional to 700,969 and 1,534,596

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Solution

The third proportional to 700,969 and 1,534,596 is: 3,359,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,969 : 1,534,596 = 1,534,596 : x
  2. Step 2: Convert to fraction form
    700,969/1,534,596 = 1,534,596/x
  3. Step 3: Cross multiply
    700,969x = 1,534,596 × 1,534,596
  4. Step 4: Simplify right side
    700,969x = 2,354,984,883,216
  5. Step 5: Solve for x
    x = 2,354,984,883,216/700,969
  6. Step 6: Final answer
    x = 3,359,613.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.