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Finding the Third Proportional to 930,869 and 1,423,376

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Solution

The third proportional to 930,869 and 1,423,376 is: 2,176,460.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,869 : 1,423,376 = 1,423,376 : x
  2. Step 2: Convert to fraction form
    930,869/1,423,376 = 1,423,376/x
  3. Step 3: Cross multiply
    930,869x = 1,423,376 × 1,423,376
  4. Step 4: Simplify right side
    930,869x = 2,025,999,237,376
  5. Step 5: Solve for x
    x = 2,025,999,237,376/930,869
  6. Step 6: Final answer
    x = 2,176,460.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.