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Finding the Third Proportional to 972,684 and 1,455,138

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Solution

The third proportional to 972,684 and 1,455,138 is: 2,176,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,684 : 1,455,138 = 1,455,138 : x
  2. Step 2: Convert to fraction form
    972,684/1,455,138 = 1,455,138/x
  3. Step 3: Cross multiply
    972,684x = 1,455,138 × 1,455,138
  4. Step 4: Simplify right side
    972,684x = 2,117,426,599,044
  5. Step 5: Solve for x
    x = 2,117,426,599,044/972,684
  6. Step 6: Final answer
    x = 2,176,890.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.