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Finding the Third Proportional to 709,751,298 and 1,544,481,006

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Solution

The third proportional to 709,751,298 and 1,544,481,006 is: 3,360,925,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,751,298 : 1,544,481,006 = 1,544,481,006 : x
  2. Step 2: Convert to fraction form
    709,751,298/1,544,481,006 = 1,544,481,006/x
  3. Step 3: Cross multiply
    709,751,298x = 1,544,481,006 × 1,544,481,006
  4. Step 4: Simplify right side
    709,751,298x = 2,385,421,577,894,772,224
  5. Step 5: Solve for x
    x = 2,385,421,577,894,772,224/709,751,298
  6. Step 6: Final answer
    x = 3,360,925,981.56

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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.