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Finding the Third Proportional to 380,966,240 and 826,877,440

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Solution

The third proportional to 380,966,240 and 826,877,440 is: 1,794,716,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,966,240 : 826,877,440 = 826,877,440 : x
  2. Step 2: Convert to fraction form
    380,966,240/826,877,440 = 826,877,440/x
  3. Step 3: Cross multiply
    380,966,240x = 826,877,440 × 826,877,440
  4. Step 4: Simplify right side
    380,966,240x = 683,726,300,780,953,600
  5. Step 5: Solve for x
    x = 683,726,300,780,953,600/380,966,240
  6. Step 6: Final answer
    x = 1,794,716,247.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.