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Finding the Third Proportional to 688,837,934 and 1,063,708,206

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Solution

The third proportional to 688,837,934 and 1,063,708,206 is: 1,642,585,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,837,934 : 1,063,708,206 = 1,063,708,206 : x
  2. Step 2: Convert to fraction form
    688,837,934/1,063,708,206 = 1,063,708,206/x
  3. Step 3: Cross multiply
    688,837,934x = 1,063,708,206 × 1,063,708,206
  4. Step 4: Simplify right side
    688,837,934x = 1,131,475,147,511,738,496
  5. Step 5: Solve for x
    x = 1,131,475,147,511,738,496/688,837,934
  6. Step 6: Final answer
    x = 1,642,585,420.55

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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.