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Finding the Third Proportional to 459,396,000 and 706,124,592

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Solution

The third proportional to 459,396,000 and 706,124,592 is: 1,085,364,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,396,000 : 706,124,592 = 706,124,592 : x
  2. Step 2: Convert to fraction form
    459,396,000/706,124,592 = 706,124,592/x
  3. Step 3: Cross multiply
    459,396,000x = 706,124,592 × 706,124,592
  4. Step 4: Simplify right side
    459,396,000x = 498,611,939,427,166,464
  5. Step 5: Solve for x
    x = 498,611,939,427,166,464/459,396,000
  6. Step 6: Final answer
    x = 1,085,364,129.05

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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.