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Finding the Third Proportional to 274,790,697 and 592,626,900

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Solution

The third proportional to 274,790,697 and 592,626,900 is: 1,278,087,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,790,697 : 592,626,900 = 592,626,900 : x
  2. Step 2: Convert to fraction form
    274,790,697/592,626,900 = 592,626,900/x
  3. Step 3: Cross multiply
    274,790,697x = 592,626,900 × 592,626,900
  4. Step 4: Simplify right side
    274,790,697x = 351,206,642,603,609,984
  5. Step 5: Solve for x
    x = 351,206,642,603,609,984/274,790,697
  6. Step 6: Final answer
    x = 1,278,087,818.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.