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Finding the Third Proportional to 409,173,410 and 876,386,884

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Solution

The third proportional to 409,173,410 and 876,386,884 is: 1,877,086,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,173,410 : 876,386,884 = 876,386,884 : x
  2. Step 2: Convert to fraction form
    409,173,410/876,386,884 = 876,386,884/x
  3. Step 3: Cross multiply
    409,173,410x = 876,386,884 × 876,386,884
  4. Step 4: Simplify right side
    409,173,410x = 768,053,970,447,229,440
  5. Step 5: Solve for x
    x = 768,053,970,447,229,440/409,173,410
  6. Step 6: Final answer
    x = 1,877,086,711.10

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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.