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Finding the Third Proportional to 459,392,849 and 706,120,028

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Solution

The third proportional to 459,392,849 and 706,120,028 is: 1,085,357,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,849 : 706,120,028 = 706,120,028 : x
  2. Step 2: Convert to fraction form
    459,392,849/706,120,028 = 706,120,028/x
  3. Step 3: Cross multiply
    459,392,849x = 706,120,028 × 706,120,028
  4. Step 4: Simplify right side
    459,392,849x = 498,605,493,942,720,768
  5. Step 5: Solve for x
    x = 498,605,493,942,720,768/459,392,849
  6. Step 6: Final answer
    x = 1,085,357,543.17

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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.