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Finding the Third Proportional to 574,213,688 and 1,259,587,240

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Solution

The third proportional to 574,213,688 and 1,259,587,240 is: 2,763,013,227.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,213,688 : 1,259,587,240 = 1,259,587,240 : x
  2. Step 2: Convert to fraction form
    574,213,688/1,259,587,240 = 1,259,587,240/x
  3. Step 3: Cross multiply
    574,213,688x = 1,259,587,240 × 1,259,587,240
  4. Step 4: Simplify right side
    574,213,688x = 1,586,560,015,170,817,536
  5. Step 5: Solve for x
    x = 1,586,560,015,170,817,536/574,213,688
  6. Step 6: Final answer
    x = 2,763,013,227.18

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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.