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Finding the Third Proportional to 698,220 and 996,616.13

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Solution

The third proportional to 698,220 and 996,616.13 is: 1,422,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,220 : 996,616.13 = 996,616.13 : x
  2. Step 2: Convert to fraction form
    698,220/996,616.13 = 996,616.13/x
  3. Step 3: Cross multiply
    698,220x = 996,616.13 × 996,616.13
  4. Step 4: Simplify right side
    698,220x = 993,243,700,610.02
  5. Step 5: Solve for x
    x = 993,243,700,610.02/698,220
  6. Step 6: Final answer
    x = 1,422,536.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.