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Finding the Third Proportional to 409,173,408 and 876,386,880

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Solution

The third proportional to 409,173,408 and 876,386,880 is: 1,877,086,703.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,173,408 : 876,386,880 = 876,386,880 : x
  2. Step 2: Convert to fraction form
    409,173,408/876,386,880 = 876,386,880/x
  3. Step 3: Cross multiply
    409,173,408x = 876,386,880 × 876,386,880
  4. Step 4: Simplify right side
    409,173,408x = 768,053,963,436,134,400
  5. Step 5: Solve for x
    x = 768,053,963,436,134,400/409,173,408
  6. Step 6: Final answer
    x = 1,877,086,703.14

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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.