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Finding the Third Proportional to 261,820,613 and 569,609,282

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Solution

The third proportional to 261,820,613 and 569,609,282 is: 1,239,225,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820,613 : 569,609,282 = 569,609,282 : x
  2. Step 2: Convert to fraction form
    261,820,613/569,609,282 = 569,609,282/x
  3. Step 3: Cross multiply
    261,820,613x = 569,609,282 × 569,609,282
  4. Step 4: Simplify right side
    261,820,613x = 324,454,734,140,555,520
  5. Step 5: Solve for x
    x = 324,454,734,140,555,520/261,820,613
  6. Step 6: Final answer
    x = 1,239,225,324.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.