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Finding the Third Proportional to 691,230 and 988,461

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Solution

The third proportional to 691,230 and 988,461 is: 1,413,502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,230 : 988,461 = 988,461 : x
  2. Step 2: Convert to fraction form
    691,230/988,461 = 988,461/x
  3. Step 3: Cross multiply
    691,230x = 988,461 × 988,461
  4. Step 4: Simplify right side
    691,230x = 977,055,148,521
  5. Step 5: Solve for x
    x = 977,055,148,521/691,230
  6. Step 6: Final answer
    x = 1,413,502.23

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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.