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Finding the Third Proportional to 690,764,252 and 1,502,557,406

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Solution

The third proportional to 690,764,252 and 1,502,557,406 is: 3,268,378,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,764,252 : 1,502,557,406 = 1,502,557,406 : x
  2. Step 2: Convert to fraction form
    690,764,252/1,502,557,406 = 1,502,557,406/x
  3. Step 3: Cross multiply
    690,764,252x = 1,502,557,406 × 1,502,557,406
  4. Step 4: Simplify right side
    690,764,252x = 2,257,678,758,325,448,960
  5. Step 5: Solve for x
    x = 2,257,678,758,325,448,960/690,764,252
  6. Step 6: Final answer
    x = 3,268,378,106.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.