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Finding the Third Proportional to 284,398,380 and 609,107,490

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Solution

The third proportional to 284,398,380 and 609,107,490 is: 1,304,550,097.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,398,380 : 609,107,490 = 609,107,490 : x
  2. Step 2: Convert to fraction form
    284,398,380/609,107,490 = 609,107,490/x
  3. Step 3: Cross multiply
    284,398,380x = 609,107,490 × 609,107,490
  4. Step 4: Simplify right side
    284,398,380x = 371,011,934,374,100,096
  5. Step 5: Solve for x
    x = 371,011,934,374,100,096/284,398,380
  6. Step 6: Final answer
    x = 1,304,550,097.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.