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Finding the Third Proportional to 590,829,594 and 1,367,663,595

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Solution

The third proportional to 590,829,594 and 1,367,663,595 is: 3,165,893,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,829,594 : 1,367,663,595 = 1,367,663,595 : x
  2. Step 2: Convert to fraction form
    590,829,594/1,367,663,595 = 1,367,663,595/x
  3. Step 3: Cross multiply
    590,829,594x = 1,367,663,595 × 1,367,663,595
  4. Step 4: Simplify right side
    590,829,594x = 1,870,503,709,088,324,096
  5. Step 5: Solve for x
    x = 1,870,503,709,088,324,096/590,829,594
  6. Step 6: Final answer
    x = 3,165,893,733.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.