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Finding the Third Proportional to 972,726 and 1,553,951

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Solution

The third proportional to 972,726 and 1,553,951 is: 2,482,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,726 : 1,553,951 = 1,553,951 : x
  2. Step 2: Convert to fraction form
    972,726/1,553,951 = 1,553,951/x
  3. Step 3: Cross multiply
    972,726x = 1,553,951 × 1,553,951
  4. Step 4: Simplify right side
    972,726x = 2,414,763,710,401
  5. Step 5: Solve for x
    x = 2,414,763,710,401/972,726
  6. Step 6: Final answer
    x = 2,482,470.61

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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.