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Finding the Third Proportional to 602,508,159 and 912,856,405.50

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Solution

The third proportional to 602,508,159 and 912,856,405.50 is: 1,383,063,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,508,159 : 912,856,405.50 = 912,856,405.50 : x
  2. Step 2: Convert to fraction form
    602,508,159/912,856,405.50 = 912,856,405.50/x
  3. Step 3: Cross multiply
    602,508,159x = 912,856,405.50 × 912,856,405.50
  4. Step 4: Simplify right side
    602,508,159x = 833,306,817,062,380,416
  5. Step 5: Solve for x
    x = 833,306,817,062,380,416/602,508,159
  6. Step 6: Final answer
    x = 1,383,063,124.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.