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Finding the Third Proportional to 690,672 and 1,065,534

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Solution

The third proportional to 690,672 and 1,065,534 is: 1,643,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,672 : 1,065,534 = 1,065,534 : x
  2. Step 2: Convert to fraction form
    690,672/1,065,534 = 1,065,534/x
  3. Step 3: Cross multiply
    690,672x = 1,065,534 × 1,065,534
  4. Step 4: Simplify right side
    690,672x = 1,135,362,705,156
  5. Step 5: Solve for x
    x = 1,135,362,705,156/690,672
  6. Step 6: Final answer
    x = 1,643,852.23

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Why These Related Problems?

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