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Finding the Third Proportional to 692,113 and 1,482,642

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Solution

The third proportional to 692,113 and 1,482,642 is: 3,176,110.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,113 : 1,482,642 = 1,482,642 : x
  2. Step 2: Convert to fraction form
    692,113/1,482,642 = 1,482,642/x
  3. Step 3: Cross multiply
    692,113x = 1,482,642 × 1,482,642
  4. Step 4: Simplify right side
    692,113x = 2,198,227,300,164
  5. Step 5: Solve for x
    x = 2,198,227,300,164/692,113
  6. Step 6: Final answer
    x = 3,176,110.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.