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Finding the Third Proportional to 684,044,940 and 1,464,947,754

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Solution

The third proportional to 684,044,940 and 1,464,947,754 is: 3,137,325,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,044,940 : 1,464,947,754 = 1,464,947,754 : x
  2. Step 2: Convert to fraction form
    684,044,940/1,464,947,754 = 1,464,947,754/x
  3. Step 3: Cross multiply
    684,044,940x = 1,464,947,754 × 1,464,947,754
  4. Step 4: Simplify right side
    684,044,940x = 2,146,071,921,949,644,544
  5. Step 5: Solve for x
    x = 2,146,071,921,949,644,544/684,044,940
  6. Step 6: Final answer
    x = 3,137,325,921.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.