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Finding the Third Proportional to 972,713 and 1,553,930

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Solution

The third proportional to 972,713 and 1,553,930 is: 2,482,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,713 : 1,553,930 = 1,553,930 : x
  2. Step 2: Convert to fraction form
    972,713/1,553,930 = 1,553,930/x
  3. Step 3: Cross multiply
    972,713x = 1,553,930 × 1,553,930
  4. Step 4: Simplify right side
    972,713x = 2,414,698,444,900
  5. Step 5: Solve for x
    x = 2,414,698,444,900/972,713
  6. Step 6: Final answer
    x = 2,482,436.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.