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Finding the Third Proportional to 409,198,592 and 876,763,776

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Solution

The third proportional to 409,198,592 and 876,763,776 is: 1,878,585,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,198,592 : 876,763,776 = 876,763,776 : x
  2. Step 2: Convert to fraction form
    409,198,592/876,763,776 = 876,763,776/x
  3. Step 3: Cross multiply
    409,198,592x = 876,763,776 × 876,763,776
  4. Step 4: Simplify right side
    409,198,592x = 768,714,718,905,778,176
  5. Step 5: Solve for x
    x = 768,714,718,905,778,176/409,198,592
  6. Step 6: Final answer
    x = 1,878,585,933.42

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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.