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Finding the Third Proportional to 698,440 and 1,524,820

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Solution

The third proportional to 698,440 and 1,524,820 is: 3,328,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,440 : 1,524,820 = 1,524,820 : x
  2. Step 2: Convert to fraction form
    698,440/1,524,820 = 1,524,820/x
  3. Step 3: Cross multiply
    698,440x = 1,524,820 × 1,524,820
  4. Step 4: Simplify right side
    698,440x = 2,325,076,032,400
  5. Step 5: Solve for x
    x = 2,325,076,032,400/698,440
  6. Step 6: Final answer
    x = 3,328,956.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.