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Finding the Third Proportional to 707,526 and 1,534,644

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Solution

The third proportional to 707,526 and 1,534,644 is: 3,328,686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,526 : 1,534,644 = 1,534,644 : x
  2. Step 2: Convert to fraction form
    707,526/1,534,644 = 1,534,644/x
  3. Step 3: Cross multiply
    707,526x = 1,534,644 × 1,534,644
  4. Step 4: Simplify right side
    707,526x = 2,355,132,206,736
  5. Step 5: Solve for x
    x = 2,355,132,206,736/707,526
  6. Step 6: Final answer
    x = 3,328,686.45

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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.