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Finding the Third Proportional to 698,176 and 1,073,760

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Solution

The third proportional to 698,176 and 1,073,760 is: 1,651,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,176 : 1,073,760 = 1,073,760 : x
  2. Step 2: Convert to fraction form
    698,176/1,073,760 = 1,073,760/x
  3. Step 3: Cross multiply
    698,176x = 1,073,760 × 1,073,760
  4. Step 4: Simplify right side
    698,176x = 1,152,960,537,600
  5. Step 5: Solve for x
    x = 1,152,960,537,600/698,176
  6. Step 6: Final answer
    x = 1,651,389.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.