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Finding the Third Proportional to 698,902 and 956,389

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Solution

The third proportional to 698,902 and 956,389 is: 1,308,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,902 : 956,389 = 956,389 : x
  2. Step 2: Convert to fraction form
    698,902/956,389 = 956,389/x
  3. Step 3: Cross multiply
    698,902x = 956,389 × 956,389
  4. Step 4: Simplify right side
    698,902x = 914,679,919,321
  5. Step 5: Solve for x
    x = 914,679,919,321/698,902
  6. Step 6: Final answer
    x = 1,308,738.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.