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Finding the Third Proportional to 402,596,751 and 880,554,606

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Solution

The third proportional to 402,596,751 and 880,554,606 is: 1,925,938,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,596,751 : 880,554,606 = 880,554,606 : x
  2. Step 2: Convert to fraction form
    402,596,751/880,554,606 = 880,554,606/x
  3. Step 3: Cross multiply
    402,596,751x = 880,554,606 × 880,554,606
  4. Step 4: Simplify right side
    402,596,751x = 775,376,414,147,815,296
  5. Step 5: Solve for x
    x = 775,376,414,147,815,296/402,596,751
  6. Step 6: Final answer
    x = 1,925,938,081.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.