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Finding the Third Proportional to 459,225,286 and 709,138,800

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Solution

The third proportional to 459,225,286 and 709,138,800 is: 1,095,056,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,225,286 : 709,138,800 = 709,138,800 : x
  2. Step 2: Convert to fraction form
    459,225,286/709,138,800 = 709,138,800/x
  3. Step 3: Cross multiply
    459,225,286x = 709,138,800 × 709,138,800
  4. Step 4: Simplify right side
    459,225,286x = 502,877,837,665,440,000
  5. Step 5: Solve for x
    x = 502,877,837,665,440,000/459,225,286
  6. Step 6: Final answer
    x = 1,095,056,942.63

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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.