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Finding the Third Proportional to 692,461 and 1,035,923

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Solution

The third proportional to 692,461 and 1,035,923 is: 1,549,742.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,461 : 1,035,923 = 1,035,923 : x
  2. Step 2: Convert to fraction form
    692,461/1,035,923 = 1,035,923/x
  3. Step 3: Cross multiply
    692,461x = 1,035,923 × 1,035,923
  4. Step 4: Simplify right side
    692,461x = 1,073,136,461,929
  5. Step 5: Solve for x
    x = 1,073,136,461,929/692,461
  6. Step 6: Final answer
    x = 1,549,742.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.