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Finding the Third Proportional to 779,714 and 1,175,331

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Solution

The third proportional to 779,714 and 1,175,331 is: 1,771,679.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,714 : 1,175,331 = 1,175,331 : x
  2. Step 2: Convert to fraction form
    779,714/1,175,331 = 1,175,331/x
  3. Step 3: Cross multiply
    779,714x = 1,175,331 × 1,175,331
  4. Step 4: Simplify right side
    779,714x = 1,381,402,959,561
  5. Step 5: Solve for x
    x = 1,381,402,959,561/779,714
  6. Step 6: Final answer
    x = 1,771,679.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.