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Finding the Third Proportional to 459,392,856 and 706,120,038

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Solution

The third proportional to 459,392,856 and 706,120,038 is: 1,085,357,557.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,392,856 : 706,120,038 = 706,120,038 : x
  2. Step 2: Convert to fraction form
    459,392,856/706,120,038 = 706,120,038/x
  3. Step 3: Cross multiply
    459,392,856x = 706,120,038 × 706,120,038
  4. Step 4: Simplify right side
    459,392,856x = 498,605,508,065,121,472
  5. Step 5: Solve for x
    x = 498,605,508,065,121,472/459,392,856
  6. Step 6: Final answer
    x = 1,085,357,557.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.