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Finding the Third Proportional to 948,370 and 2,073,780

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Solution

The third proportional to 948,370 and 2,073,780 is: 4,534,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,370 : 2,073,780 = 2,073,780 : x
  2. Step 2: Convert to fraction form
    948,370/2,073,780 = 2,073,780/x
  3. Step 3: Cross multiply
    948,370x = 2,073,780 × 2,073,780
  4. Step 4: Simplify right side
    948,370x = 4,300,563,488,400
  5. Step 5: Solve for x
    x = 4,300,563,488,400/948,370
  6. Step 6: Final answer
    x = 4,534,689.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.