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Finding the Third Proportional to 690,120 and 1,065,960

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Solution

The third proportional to 690,120 and 1,065,960 is: 1,646,482.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,120 : 1,065,960 = 1,065,960 : x
  2. Step 2: Convert to fraction form
    690,120/1,065,960 = 1,065,960/x
  3. Step 3: Cross multiply
    690,120x = 1,065,960 × 1,065,960
  4. Step 4: Simplify right side
    690,120x = 1,136,270,721,600
  5. Step 5: Solve for x
    x = 1,136,270,721,600/690,120
  6. Step 6: Final answer
    x = 1,646,482.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.