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Finding the Third Proportional to 380,966,314 and 826,877,588

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Solution

The third proportional to 380,966,314 and 826,877,588 is: 1,794,716,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,966,314 : 826,877,588 = 826,877,588 : x
  2. Step 2: Convert to fraction form
    380,966,314/826,877,588 = 826,877,588/x
  3. Step 3: Cross multiply
    380,966,314x = 826,877,588 × 826,877,588
  4. Step 4: Simplify right side
    380,966,314x = 683,726,545,536,697,728
  5. Step 5: Solve for x
    x = 683,726,545,536,697,728/380,966,314
  6. Step 6: Final answer
    x = 1,794,716,541.62

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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.