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Finding the Third Proportional to 690,398 and 1,428,726

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Solution

The third proportional to 690,398 and 1,428,726 is: 2,956,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,398 : 1,428,726 = 1,428,726 : x
  2. Step 2: Convert to fraction form
    690,398/1,428,726 = 1,428,726/x
  3. Step 3: Cross multiply
    690,398x = 1,428,726 × 1,428,726
  4. Step 4: Simplify right side
    690,398x = 2,041,257,983,076
  5. Step 5: Solve for x
    x = 2,041,257,983,076/690,398
  6. Step 6: Final answer
    x = 2,956,639.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.